Finding the Third Proportional to 461,152 and 993,456

Step by Step Solution

1. Step 1: Write the proportion equation
   461,152 : 993,456 = 993,456 : x
2. Step 2: Convert to fraction form
   461,152/993,456 = 993,456/x
3. Step 3: Cross multiply
   461,152x = 993,456 × 993,456
4. Step 4: Simplify right side
   461,152x = 986,954,823,936
5. Step 5: Solve for x
   x = 986,954,823,936/461,152
6. Step 6: Final answer
   x = 2,140,194.17