Finding the Third Proportional to 123,614 and 165,738

Step by Step Solution

1. Step 1: Write the proportion equation
   123,614 : 165,738 = 165,738 : x
2. Step 2: Convert to fraction form
   123,614/165,738 = 165,738/x
3. Step 3: Cross multiply
   123,614x = 165,738 × 165,738
4. Step 4: Simplify right side
   123,614x = 27,469,084,644
5. Step 5: Solve for x
   x = 27,469,084,644/123,614
6. Step 6: Final answer
   x = 222,216.61