Finding the Third Proportional to 39,400 and 86,454.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,400 : 86,454.50 = 86,454.50 : x
2. Step 2: Convert to fraction form
   39,400/86,454.50 = 86,454.50/x
3. Step 3: Cross multiply
   39,400x = 86,454.50 × 86,454.50
4. Step 4: Simplify right side
   39,400x = 7,474,380,570.25
5. Step 5: Solve for x
   x = 7,474,380,570.25/39,400
6. Step 6: Final answer
   x = 189,705.09