Finding the Third Proportional to 72,201 and 111,582

Step by Step Solution

1. Step 1: Write the proportion equation
   72,201 : 111,582 = 111,582 : x
2. Step 2: Convert to fraction form
   72,201/111,582 = 111,582/x
3. Step 3: Cross multiply
   72,201x = 111,582 × 111,582
4. Step 4: Simplify right side
   72,201x = 12,450,542,724
5. Step 5: Solve for x
   x = 12,450,542,724/72,201
6. Step 6: Final answer
   x = 172,442.80