Finding the Third Proportional to 85,539 and 206,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,539 : 206,071.50 = 206,071.50 : x
2. Step 2: Convert to fraction form
   85,539/206,071.50 = 206,071.50/x
3. Step 3: Cross multiply
   85,539x = 206,071.50 × 206,071.50
4. Step 4: Simplify right side
   85,539x = 42,465,463,112.25
5. Step 5: Solve for x
   x = 42,465,463,112.25/85,539
6. Step 6: Final answer
   x = 496,445.63