Finding the Third Proportional to 131,441.50 and 196,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,441.50 : 196,938.50 = 196,938.50 : x
2. Step 2: Convert to fraction form
   131,441.50/196,938.50 = 196,938.50/x
3. Step 3: Cross multiply
   131,441.50x = 196,938.50 × 196,938.50
4. Step 4: Simplify right side
   131,441.50x = 38,784,772,782.25
5. Step 5: Solve for x
   x = 38,784,772,782.25/131,441.50
6. Step 6: Final answer
   x = 295,072.51