Finding the Third Proportional to 85,545 and 206,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,545 : 206,086.50 = 206,086.50 : x
2. Step 2: Convert to fraction form
   85,545/206,086.50 = 206,086.50/x
3. Step 3: Cross multiply
   85,545x = 206,086.50 × 206,086.50
4. Step 4: Simplify right side
   85,545x = 42,471,645,482.25
5. Step 5: Solve for x
   x = 42,471,645,482.25/85,545
6. Step 6: Final answer
   x = 496,483.08