Finding the Third Proportional to 72,204 and 108,620

Step by Step Solution

1. Step 1: Write the proportion equation
   72,204 : 108,620 = 108,620 : x
2. Step 2: Convert to fraction form
   72,204/108,620 = 108,620/x
3. Step 3: Cross multiply
   72,204x = 108,620 × 108,620
4. Step 4: Simplify right side
   72,204x = 11,798,304,400
5. Step 5: Solve for x
   x = 11,798,304,400/72,204
6. Step 6: Final answer
   x = 163,402.37