Finding the Third Proportional to 40,448 and 85,084

Step by Step Solution

1. Step 1: Write the proportion equation
   40,448 : 85,084 = 85,084 : x
2. Step 2: Convert to fraction form
   40,448/85,084 = 85,084/x
3. Step 3: Cross multiply
   40,448x = 85,084 × 85,084
4. Step 4: Simplify right side
   40,448x = 7,239,287,056
5. Step 5: Solve for x
   x = 7,239,287,056/40,448
6. Step 6: Final answer
   x = 178,977.63