Finding the Third Proportional to 510,156 and 749,664

Step by Step Solution

1. Step 1: Write the proportion equation
   510,156 : 749,664 = 749,664 : x
2. Step 2: Convert to fraction form
   510,156/749,664 = 749,664/x
3. Step 3: Cross multiply
   510,156x = 749,664 × 749,664
4. Step 4: Simplify right side
   510,156x = 561,996,112,896
5. Step 5: Solve for x
   x = 561,996,112,896/510,156
6. Step 6: Final answer
   x = 1,101,616.20