Finding the Third Proportional to 81,912.75 and 176,400

Step by Step Solution

1. Step 1: Write the proportion equation
   81,912.75 : 176,400 = 176,400 : x
2. Step 2: Convert to fraction form
   81,912.75/176,400 = 176,400/x
3. Step 3: Cross multiply
   81,912.75x = 176,400 × 176,400
4. Step 4: Simplify right side
   81,912.75x = 31,116,960,000
5. Step 5: Solve for x
   x = 31,116,960,000/81,912.75
6. Step 6: Final answer
   x = 379,879.32