Finding the Third Proportional to 72,202 and 111,584

Step by Step Solution

1. Step 1: Write the proportion equation
   72,202 : 111,584 = 111,584 : x
2. Step 2: Convert to fraction form
   72,202/111,584 = 111,584/x
3. Step 3: Cross multiply
   72,202x = 111,584 × 111,584
4. Step 4: Simplify right side
   72,202x = 12,450,989,056
5. Step 5: Solve for x
   x = 12,450,989,056/72,202
6. Step 6: Final answer
   x = 172,446.60