Finding the Third Proportional to 131,214.50 and 196,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,214.50 : 196,787.50 = 196,787.50 : x
2. Step 2: Convert to fraction form
   131,214.50/196,787.50 = 196,787.50/x
3. Step 3: Cross multiply
   131,214.50x = 196,787.50 × 196,787.50
4. Step 4: Simplify right side
   131,214.50x = 38,725,320,156.25
5. Step 5: Solve for x
   x = 38,725,320,156.25/131,214.50
6. Step 6: Final answer
   x = 295,129.88