Finding the Third Proportional to 156,789 and 206,022

Step by Step Solution

1. Step 1: Write the proportion equation
   156,789 : 206,022 = 206,022 : x
2. Step 2: Convert to fraction form
   156,789/206,022 = 206,022/x
3. Step 3: Cross multiply
   156,789x = 206,022 × 206,022
4. Step 4: Simplify right side
   156,789x = 42,445,064,484
5. Step 5: Solve for x
   x = 42,445,064,484/156,789
6. Step 6: Final answer
   x = 270,714.56