Finding the Third Proportional to 63,380 and 137,708.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,380 : 137,708.50 = 137,708.50 : x
2. Step 2: Convert to fraction form
   63,380/137,708.50 = 137,708.50/x
3. Step 3: Cross multiply
   63,380x = 137,708.50 × 137,708.50
4. Step 4: Simplify right side
   63,380x = 18,963,630,972.25
5. Step 5: Solve for x
   x = 18,963,630,972.25/63,380
6. Step 6: Final answer
   x = 299,205.29