Finding the Third Proportional to 71,680 and 111,216

Step by Step Solution

1. Step 1: Write the proportion equation
   71,680 : 111,216 = 111,216 : x
2. Step 2: Convert to fraction form
   71,680/111,216 = 111,216/x
3. Step 3: Cross multiply
   71,680x = 111,216 × 111,216
4. Step 4: Simplify right side
   71,680x = 12,368,998,656
5. Step 5: Solve for x
   x = 12,368,998,656/71,680
6. Step 6: Final answer
   x = 172,558.58