Finding the Third Proportional to 322,499 and 504,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,499 : 504,022.50 = 504,022.50 : x
2. Step 2: Convert to fraction form
   322,499/504,022.50 = 504,022.50/x
3. Step 3: Cross multiply
   322,499x = 504,022.50 × 504,022.50
4. Step 4: Simplify right side
   322,499x = 254,038,680,506.25
5. Step 5: Solve for x
   x = 254,038,680,506.25/322,499
6. Step 6: Final answer
   x = 787,719.28