Finding the Third Proportional to 40,110 and 85,380

Step by Step Solution

1. Step 1: Write the proportion equation
   40,110 : 85,380 = 85,380 : x
2. Step 2: Convert to fraction form
   40,110/85,380 = 85,380/x
3. Step 3: Cross multiply
   40,110x = 85,380 × 85,380
4. Step 4: Simplify right side
   40,110x = 7,289,744,400
5. Step 5: Solve for x
   x = 7,289,744,400/40,110
6. Step 6: Final answer
   x = 181,743.81