Finding the Third Proportional to 110,970 and 176,499

Step by Step Solution

1. Step 1: Write the proportion equation
   110,970 : 176,499 = 176,499 : x
2. Step 2: Convert to fraction form
   110,970/176,499 = 176,499/x
3. Step 3: Cross multiply
   110,970x = 176,499 × 176,499
4. Step 4: Simplify right side
   110,970x = 31,151,897,001
5. Step 5: Solve for x
   x = 31,151,897,001/110,970
6. Step 6: Final answer
   x = 280,723.59