Finding the Third Proportional to 123,620 and 165,747

Step by Step Solution

1. Step 1: Write the proportion equation
   123,620 : 165,747 = 165,747 : x
2. Step 2: Convert to fraction form
   123,620/165,747 = 165,747/x
3. Step 3: Cross multiply
   123,620x = 165,747 × 165,747
4. Step 4: Simplify right side
   123,620x = 27,472,068,009
5. Step 5: Solve for x
   x = 27,472,068,009/123,620
6. Step 6: Final answer
   x = 222,229.96