Finding the Third Proportional to 1,057,732,905,614 and 2,266,365,300,506

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057,732,905,614 : 2,266,365,300,506 = 2,266,365,300,506 : x
2. Step 2: Convert to fraction form
   1,057,732,905,614/2,266,365,300,506 = 2,266,365,300,506/x
3. Step 3: Cross multiply
   1,057,732,905,614x = 2,266,365,300,506 × 2,266,365,300,506
4. Step 4: Simplify right side
   1,057,732,905,614x = 5,136,411,675,337,651,556,188,160
5. Step 5: Solve for x
   x = 5,136,411,675,337,651,556,188,160/1,057,732,905,614
6. Step 6: Final answer
   x = 4,856,057,373,346.09