Finding the Third Proportional to 111,377 and 240,142

Step by Step Solution

1. Step 1: Write the proportion equation
   111,377 : 240,142 = 240,142 : x
2. Step 2: Convert to fraction form
   111,377/240,142 = 240,142/x
3. Step 3: Cross multiply
   111,377x = 240,142 × 240,142
4. Step 4: Simplify right side
   111,377x = 57,668,180,164
5. Step 5: Solve for x
   x = 57,668,180,164/111,377
6. Step 6: Final answer
   x = 517,774.59