Finding the Third Proportional to 111,122 and 176,526

Step by Step Solution

1. Step 1: Write the proportion equation
   111,122 : 176,526 = 176,526 : x
2. Step 2: Convert to fraction form
   111,122/176,526 = 176,526/x
3. Step 3: Cross multiply
   111,122x = 176,526 × 176,526
4. Step 4: Simplify right side
   111,122x = 31,161,428,676
5. Step 5: Solve for x
   x = 31,161,428,676/111,122
6. Step 6: Final answer
   x = 280,425.38