Finding the Third Proportional to 72,332 and 111,776

Step by Step Solution

1. Step 1: Write the proportion equation
   72,332 : 111,776 = 111,776 : x
2. Step 2: Convert to fraction form
   72,332/111,776 = 111,776/x
3. Step 3: Cross multiply
   72,332x = 111,776 × 111,776
4. Step 4: Simplify right side
   72,332x = 12,493,874,176
5. Step 5: Solve for x
   x = 12,493,874,176/72,332
6. Step 6: Final answer
   x = 172,729.56