Finding the Third Proportional to 63,796.75 and 137,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,796.75 : 137,342.50 = 137,342.50 : x
2. Step 2: Convert to fraction form
   63,796.75/137,342.50 = 137,342.50/x
3. Step 3: Cross multiply
   63,796.75x = 137,342.50 × 137,342.50
4. Step 4: Simplify right side
   63,796.75x = 18,862,962,306.25
5. Step 5: Solve for x
   x = 18,862,962,306.25/63,796.75
6. Step 6: Final answer
   x = 295,672.78