Finding the Third Proportional to 388,399.50 and 596,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   388,399.50 : 596,182.50 = 596,182.50 : x
2. Step 2: Convert to fraction form
   388,399.50/596,182.50 = 596,182.50/x
3. Step 3: Cross multiply
   388,399.50x = 596,182.50 × 596,182.50
4. Step 4: Simplify right side
   388,399.50x = 355,433,573,306.25
5. Step 5: Solve for x
   x = 355,433,573,306.25/388,399.50
6. Step 6: Final answer
   x = 915,123.66