Finding the Third Proportional to 510,151 and 762,561

Step by Step Solution

1. Step 1: Write the proportion equation
   510,151 : 762,561 = 762,561 : x
2. Step 2: Convert to fraction form
   510,151/762,561 = 762,561/x
3. Step 3: Cross multiply
   510,151x = 762,561 × 762,561
4. Step 4: Simplify right side
   510,151x = 581,499,278,721
5. Step 5: Solve for x
   x = 581,499,278,721/510,151
6. Step 6: Final answer
   x = 1,139,857.18