Finding the Third Proportional to 156,785 and 206,016

Step by Step Solution

1. Step 1: Write the proportion equation
   156,785 : 206,016 = 206,016 : x
2. Step 2: Convert to fraction form
   156,785/206,016 = 206,016/x
3. Step 3: Cross multiply
   156,785x = 206,016 × 206,016
4. Step 4: Simplify right side
   156,785x = 42,442,592,256
5. Step 5: Solve for x
   x = 42,442,592,256/156,785
6. Step 6: Final answer
   x = 270,705.69