Finding the Third Proportional to 72,206 and 108,624

Step by Step Solution

1. Step 1: Write the proportion equation
   72,206 : 108,624 = 108,624 : x
2. Step 2: Convert to fraction form
   72,206/108,624 = 108,624/x
3. Step 3: Cross multiply
   72,206x = 108,624 × 108,624
4. Step 4: Simplify right side
   72,206x = 11,799,173,376
5. Step 5: Solve for x
   x = 11,799,173,376/72,206
6. Step 6: Final answer
   x = 163,409.87