Finding the Third Proportional to 156,797 and 206,034

Step by Step Solution

1. Step 1: Write the proportion equation
   156,797 : 206,034 = 206,034 : x
2. Step 2: Convert to fraction form
   156,797/206,034 = 206,034/x
3. Step 3: Cross multiply
   156,797x = 206,034 × 206,034
4. Step 4: Simplify right side
   156,797x = 42,450,009,156
5. Step 5: Solve for x
   x = 42,450,009,156/156,797
6. Step 6: Final answer
   x = 270,732.28