Finding the Third Proportional to 111,411 and 165,748

Step by Step Solution

1. Step 1: Write the proportion equation
   111,411 : 165,748 = 165,748 : x
2. Step 2: Convert to fraction form
   111,411/165,748 = 165,748/x
3. Step 3: Cross multiply
   111,411x = 165,748 × 165,748
4. Step 4: Simplify right side
   111,411x = 27,472,399,504
5. Step 5: Solve for x
   x = 27,472,399,504/111,411
6. Step 6: Final answer
   x = 246,586.06