Finding the Third Proportional to 39,198 and 86,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,198 : 86,200.50 = 86,200.50 : x
2. Step 2: Convert to fraction form
   39,198/86,200.50 = 86,200.50/x
3. Step 3: Cross multiply
   39,198x = 86,200.50 × 86,200.50
4. Step 4: Simplify right side
   39,198x = 7,430,526,200.25
5. Step 5: Solve for x
   x = 7,430,526,200.25/39,198
6. Step 6: Final answer
   x = 189,563.91