Finding the Third Proportional to 72,202.50 and 111,584.25

Step by Step Solution

1. Step 1: Write the proportion equation
   72,202.50 : 111,584.25 = 111,584.25 : x
2. Step 2: Convert to fraction form
   72,202.50/111,584.25 = 111,584.25/x
3. Step 3: Cross multiply
   72,202.50x = 111,584.25 × 111,584.25
4. Step 4: Simplify right side
   72,202.50x = 12,451,044,848.06
5. Step 5: Solve for x
   x = 12,451,044,848.06/72,202.50
6. Step 6: Final answer
   x = 172,446.17