Finding the Third Proportional to 63,186.75 and 137,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,186.75 : 137,443.50 = 137,443.50 : x
2. Step 2: Convert to fraction form
   63,186.75/137,443.50 = 137,443.50/x
3. Step 3: Cross multiply
   63,186.75x = 137,443.50 × 137,443.50
4. Step 4: Simplify right side
   63,186.75x = 18,890,715,692.25
5. Step 5: Solve for x
   x = 18,890,715,692.25/63,186.75
6. Step 6: Final answer
   x = 298,966.41