Finding the Third Proportional to 72,214 and 111,599

Step by Step Solution

1. Step 1: Write the proportion equation
   72,214 : 111,599 = 111,599 : x
2. Step 2: Convert to fraction form
   72,214/111,599 = 111,599/x
3. Step 3: Cross multiply
   72,214x = 111,599 × 111,599
4. Step 4: Simplify right side
   72,214x = 12,454,336,801
5. Step 5: Solve for x
   x = 12,454,336,801/72,214
6. Step 6: Final answer
   x = 172,464.30