Finding the Third Proportional to 63,678.50 and 137,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,678.50 : 137,737.50 = 137,737.50 : x
2. Step 2: Convert to fraction form
   63,678.50/137,737.50 = 137,737.50/x
3. Step 3: Cross multiply
   63,678.50x = 137,737.50 × 137,737.50
4. Step 4: Simplify right side
   63,678.50x = 18,971,618,906.25
5. Step 5: Solve for x
   x = 18,971,618,906.25/63,678.50
6. Step 6: Final answer
   x = 297,928.17