Finding the Third Proportional to 63,977.25 and 137,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,977.25 : 137,674.50 = 137,674.50 : x
2. Step 2: Convert to fraction form
   63,977.25/137,674.50 = 137,674.50/x
3. Step 3: Cross multiply
   63,977.25x = 137,674.50 × 137,674.50
4. Step 4: Simplify right side
   63,977.25x = 18,954,267,950.25
5. Step 5: Solve for x
   x = 18,954,267,950.25/63,977.25
6. Step 6: Final answer
   x = 296,265.75