Finding the Third Proportional to 40,346.25 and 85,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,346.25 : 85,306.50 = 85,306.50 : x
2. Step 2: Convert to fraction form
   40,346.25/85,306.50 = 85,306.50/x
3. Step 3: Cross multiply
   40,346.25x = 85,306.50 × 85,306.50
4. Step 4: Simplify right side
   40,346.25x = 7,277,198,942.25
5. Step 5: Solve for x
   x = 7,277,198,942.25/40,346.25
6. Step 6: Final answer
   x = 180,368.66