Finding the Third Proportional to 71,680 and 109,992

Step by Step Solution

1. Step 1: Write the proportion equation
   71,680 : 109,992 = 109,992 : x
2. Step 2: Convert to fraction form
   71,680/109,992 = 109,992/x
3. Step 3: Cross multiply
   71,680x = 109,992 × 109,992
4. Step 4: Simplify right side
   71,680x = 12,098,240,064
5. Step 5: Solve for x
   x = 12,098,240,064/71,680
6. Step 6: Final answer
   x = 168,781.25