Finding the Third Proportional to 1,057,732,905,606 and 2,266,365,300,492

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057,732,905,606 : 2,266,365,300,492 = 2,266,365,300,492 : x
2. Step 2: Convert to fraction form
   1,057,732,905,606/2,266,365,300,492 = 2,266,365,300,492/x
3. Step 3: Cross multiply
   1,057,732,905,606x = 2,266,365,300,492 × 2,266,365,300,492
4. Step 4: Simplify right side
   1,057,732,905,606x = 5,136,411,675,274,193,414,389,760
5. Step 5: Solve for x
   x = 5,136,411,675,274,193,414,389,760/1,057,732,905,606
6. Step 6: Final answer
   x = 4,856,057,373,322.83