Finding the Third Proportional to 140,966 and 206,157

Step by Step Solution

1. Step 1: Write the proportion equation
   140,966 : 206,157 = 206,157 : x
2. Step 2: Convert to fraction form
   140,966/206,157 = 206,157/x
3. Step 3: Cross multiply
   140,966x = 206,157 × 206,157
4. Step 4: Simplify right side
   140,966x = 42,500,708,649
5. Step 5: Solve for x
   x = 42,500,708,649/140,966
6. Step 6: Final answer
   x = 301,496.17