Finding the Third Proportional to 131,376 and 196,200

Step by Step Solution

1. Step 1: Write the proportion equation
   131,376 : 196,200 = 196,200 : x
2. Step 2: Convert to fraction form
   131,376/196,200 = 196,200/x
3. Step 3: Cross multiply
   131,376x = 196,200 × 196,200
4. Step 4: Simplify right side
   131,376x = 38,494,440,000
5. Step 5: Solve for x
   x = 38,494,440,000/131,376
6. Step 6: Final answer
   x = 293,009.68