Finding the Third Proportional to 111,120 and 176,522

Step by Step Solution

1. Step 1: Write the proportion equation
   111,120 : 176,522 = 176,522 : x
2. Step 2: Convert to fraction form
   111,120/176,522 = 176,522/x
3. Step 3: Cross multiply
   111,120x = 176,522 × 176,522
4. Step 4: Simplify right side
   111,120x = 31,160,016,484
5. Step 5: Solve for x
   x = 31,160,016,484/111,120
6. Step 6: Final answer
   x = 280,417.71