Finding the Third Proportional to 322,632 and 512,472

Step by Step Solution

1. Step 1: Write the proportion equation
   322,632 : 512,472 = 512,472 : x
2. Step 2: Convert to fraction form
   322,632/512,472 = 512,472/x
3. Step 3: Cross multiply
   322,632x = 512,472 × 512,472
4. Step 4: Simplify right side
   322,632x = 262,627,550,784
5. Step 5: Solve for x
   x = 262,627,550,784/322,632
6. Step 6: Final answer
   x = 814,015.82