Finding the Third Proportional to 85,447.50 and 199,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,447.50 : 199,645.50 = 199,645.50 : x
2. Step 2: Convert to fraction form
   85,447.50/199,645.50 = 199,645.50/x
3. Step 3: Cross multiply
   85,447.50x = 199,645.50 × 199,645.50
4. Step 4: Simplify right side
   85,447.50x = 39,858,325,670.25
5. Step 5: Solve for x
   x = 39,858,325,670.25/85,447.50
6. Step 6: Final answer
   x = 466,465.67