Finding the Third Proportional to 386,901 and 597,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,901 : 597,613.50 = 597,613.50 : x
2. Step 2: Convert to fraction form
   386,901/597,613.50 = 597,613.50/x
3. Step 3: Cross multiply
   386,901x = 597,613.50 × 597,613.50
4. Step 4: Simplify right side
   386,901x = 357,141,895,382.25
5. Step 5: Solve for x
   x = 357,141,895,382.25/386,901
6. Step 6: Final answer
   x = 923,083.41