Finding the Third Proportional to 81,687.75 and 176,946

Step by Step Solution

1. Step 1: Write the proportion equation
   81,687.75 : 176,946 = 176,946 : x
2. Step 2: Convert to fraction form
   81,687.75/176,946 = 176,946/x
3. Step 3: Cross multiply
   81,687.75x = 176,946 × 176,946
4. Step 4: Simplify right side
   81,687.75x = 31,309,886,916
5. Step 5: Solve for x
   x = 31,309,886,916/81,687.75
6. Step 6: Final answer
   x = 383,287.42