Finding the Third Proportional to 72,202 and 111,581

Step by Step Solution

1. Step 1: Write the proportion equation
   72,202 : 111,581 = 111,581 : x
2. Step 2: Convert to fraction form
   72,202/111,581 = 111,581/x
3. Step 3: Cross multiply
   72,202x = 111,581 × 111,581
4. Step 4: Simplify right side
   72,202x = 12,450,319,561
5. Step 5: Solve for x
   x = 12,450,319,561/72,202
6. Step 6: Final answer
   x = 172,437.32