Finding the Third Proportional to 72,204 and 111,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,204 : 111,586.50 = 111,586.50 : x
2. Step 2: Convert to fraction form
   72,204/111,586.50 = 111,586.50/x
3. Step 3: Cross multiply
   72,204x = 111,586.50 × 111,586.50
4. Step 4: Simplify right side
   72,204x = 12,451,546,982.25
5. Step 5: Solve for x
   x = 12,451,546,982.25/72,204
6. Step 6: Final answer
   x = 172,449.55