Finding the Third Proportional to 111,068 and 176,442

Step by Step Solution

1. Step 1: Write the proportion equation
   111,068 : 176,442 = 176,442 : x
2. Step 2: Convert to fraction form
   111,068/176,442 = 176,442/x
3. Step 3: Cross multiply
   111,068x = 176,442 × 176,442
4. Step 4: Simplify right side
   111,068x = 31,131,779,364
5. Step 5: Solve for x
   x = 31,131,779,364/111,068
6. Step 6: Final answer
   x = 280,294.77