Finding the Third Proportional to 94,426 and 206,996

Step by Step Solution

1. Step 1: Write the proportion equation
   94,426 : 206,996 = 206,996 : x
2. Step 2: Convert to fraction form
   94,426/206,996 = 206,996/x
3. Step 3: Cross multiply
   94,426x = 206,996 × 206,996
4. Step 4: Simplify right side
   94,426x = 42,847,344,016
5. Step 5: Solve for x
   x = 42,847,344,016/94,426
6. Step 6: Final answer
   x = 453,766.38