Finding the Third Proportional to 89,691 and 206,727

Step by Step Solution

1. Step 1: Write the proportion equation
   89,691 : 206,727 = 206,727 : x
2. Step 2: Convert to fraction form
   89,691/206,727 = 206,727/x
3. Step 3: Cross multiply
   89,691x = 206,727 × 206,727
4. Step 4: Simplify right side
   89,691x = 42,736,052,529
5. Step 5: Solve for x
   x = 42,736,052,529/89,691
6. Step 6: Final answer
   x = 476,480.95