Finding the Third Proportional to 341,782.50 and 499,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   341,782.50 : 499,429.50 = 499,429.50 : x
2. Step 2: Convert to fraction form
   341,782.50/499,429.50 = 499,429.50/x
3. Step 3: Cross multiply
   341,782.50x = 499,429.50 × 499,429.50
4. Step 4: Simplify right side
   341,782.50x = 249,429,825,470.25
5. Step 5: Solve for x
   x = 249,429,825,470.25/341,782.50
6. Step 6: Final answer
   x = 729,791.10