Finding the Third Proportional to 503,965 and 726,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   503,965 : 726,139.50 = 726,139.50 : x
2. Step 2: Convert to fraction form
   503,965/726,139.50 = 726,139.50/x
3. Step 3: Cross multiply
   503,965x = 726,139.50 × 726,139.50
4. Step 4: Simplify right side
   503,965x = 527,278,573,460.25
5. Step 5: Solve for x
   x = 527,278,573,460.25/503,965
6. Step 6: Final answer
   x = 1,046,260.30