Finding the Third Proportional to 156,787 and 206,019

Step by Step Solution

1. Step 1: Write the proportion equation
   156,787 : 206,019 = 206,019 : x
2. Step 2: Convert to fraction form
   156,787/206,019 = 206,019/x
3. Step 3: Cross multiply
   156,787x = 206,019 × 206,019
4. Step 4: Simplify right side
   156,787x = 42,443,828,361
5. Step 5: Solve for x
   x = 42,443,828,361/156,787
6. Step 6: Final answer
   x = 270,710.12