Finding the Third Proportional to 64,314 and 137,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,314 : 137,857.50 = 137,857.50 : x
2. Step 2: Convert to fraction form
   64,314/137,857.50 = 137,857.50/x
3. Step 3: Cross multiply
   64,314x = 137,857.50 × 137,857.50
4. Step 4: Simplify right side
   64,314x = 19,004,690,306.25
5. Step 5: Solve for x
   x = 19,004,690,306.25/64,314
6. Step 6: Final answer
   x = 295,498.50