Finding the Third Proportional to 506,414.50 and 801,904

Step by Step Solution

1. Step 1: Write the proportion equation
   506,414.50 : 801,904 = 801,904 : x
2. Step 2: Convert to fraction form
   506,414.50/801,904 = 801,904/x
3. Step 3: Cross multiply
   506,414.50x = 801,904 × 801,904
4. Step 4: Simplify right side
   506,414.50x = 643,050,025,216
5. Step 5: Solve for x
   x = 643,050,025,216/506,414.50
6. Step 6: Final answer
   x = 1,269,809.66