Finding the Third Proportional to 146,881.50 and 198,177

Step by Step Solution

1. Step 1: Write the proportion equation
   146,881.50 : 198,177 = 198,177 : x
2. Step 2: Convert to fraction form
   146,881.50/198,177 = 198,177/x
3. Step 3: Cross multiply
   146,881.50x = 198,177 × 198,177
4. Step 4: Simplify right side
   146,881.50x = 39,274,123,329
5. Step 5: Solve for x
   x = 39,274,123,329/146,881.50
6. Step 6: Final answer
   x = 267,386.45