Finding the Third Proportional to 71,760 and 157,200

Step by Step Solution

1. Step 1: Write the proportion equation
   71,760 : 157,200 = 157,200 : x
2. Step 2: Convert to fraction form
   71,760/157,200 = 157,200/x
3. Step 3: Cross multiply
   71,760x = 157,200 × 157,200
4. Step 4: Simplify right side
   71,760x = 24,711,840,000
5. Step 5: Solve for x
   x = 24,711,840,000/71,760
6. Step 6: Final answer
   x = 344,367.89