Finding the Third Proportional to 111,674 and 156,195

Step by Step Solution

1. Step 1: Write the proportion equation
   111,674 : 156,195 = 156,195 : x
2. Step 2: Convert to fraction form
   111,674/156,195 = 156,195/x
3. Step 3: Cross multiply
   111,674x = 156,195 × 156,195
4. Step 4: Simplify right side
   111,674x = 24,396,878,025
5. Step 5: Solve for x
   x = 24,396,878,025/111,674
6. Step 6: Final answer
   x = 218,465.16