Finding the Third Proportional to 72,324 and 111,762

Step by Step Solution

1. Step 1: Write the proportion equation
   72,324 : 111,762 = 111,762 : x
2. Step 2: Convert to fraction form
   72,324/111,762 = 111,762/x
3. Step 3: Cross multiply
   72,324x = 111,762 × 111,762
4. Step 4: Simplify right side
   72,324x = 12,490,744,644
5. Step 5: Solve for x
   x = 12,490,744,644/72,324
6. Step 6: Final answer
   x = 172,705.39