Finding the Third Proportional to 63,915 and 137,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,915 : 137,641.50 = 137,641.50 : x
2. Step 2: Convert to fraction form
   63,915/137,641.50 = 137,641.50/x
3. Step 3: Cross multiply
   63,915x = 137,641.50 × 137,641.50
4. Step 4: Simplify right side
   63,915x = 18,945,182,522.25
5. Step 5: Solve for x
   x = 18,945,182,522.25/63,915
6. Step 6: Final answer
   x = 296,412.15