Finding the Third Proportional to 85,554 and 206,109

Step by Step Solution

1. Step 1: Write the proportion equation
   85,554 : 206,109 = 206,109 : x
2. Step 2: Convert to fraction form
   85,554/206,109 = 206,109/x
3. Step 3: Cross multiply
   85,554x = 206,109 × 206,109
4. Step 4: Simplify right side
   85,554x = 42,480,919,881
5. Step 5: Solve for x
   x = 42,480,919,881/85,554
6. Step 6: Final answer
   x = 496,539.26