Finding the Third Proportional to 503,967 and 726,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   503,967 : 726,142.50 = 726,142.50 : x
2. Step 2: Convert to fraction form
   503,967/726,142.50 = 726,142.50/x
3. Step 3: Cross multiply
   503,967x = 726,142.50 × 726,142.50
4. Step 4: Simplify right side
   503,967x = 527,282,930,306.25
5. Step 5: Solve for x
   x = 527,282,930,306.25/503,967
6. Step 6: Final answer
   x = 1,046,264.80