Finding the Third Proportional to 72,200 and 111,578

Step by Step Solution

1. Step 1: Write the proportion equation
   72,200 : 111,578 = 111,578 : x
2. Step 2: Convert to fraction form
   72,200/111,578 = 111,578/x
3. Step 3: Cross multiply
   72,200x = 111,578 × 111,578
4. Step 4: Simplify right side
   72,200x = 12,449,650,084
5. Step 5: Solve for x
   x = 12,449,650,084/72,200
6. Step 6: Final answer
   x = 172,432.83