Finding the Third Proportional to 513,721.50 and 813,414

Step by Step Solution

1. Step 1: Write the proportion equation
   513,721.50 : 813,414 = 813,414 : x
2. Step 2: Convert to fraction form
   513,721.50/813,414 = 813,414/x
3. Step 3: Cross multiply
   513,721.50x = 813,414 × 813,414
4. Step 4: Simplify right side
   513,721.50x = 661,642,335,396
5. Step 5: Solve for x
   x = 661,642,335,396/513,721.50
6. Step 6: Final answer
   x = 1,287,939.74