Finding the Third Proportional to 111,416 and 165,756

Step by Step Solution

1. Step 1: Write the proportion equation
   111,416 : 165,756 = 165,756 : x
2. Step 2: Convert to fraction form
   111,416/165,756 = 165,756/x
3. Step 3: Cross multiply
   111,416x = 165,756 × 165,756
4. Step 4: Simplify right side
   111,416x = 27,475,051,536
5. Step 5: Solve for x
   x = 27,475,051,536/111,416
6. Step 6: Final answer
   x = 246,598.80