Finding the Third Proportional to 40,352 and 85,510

Step by Step Solution

1. Step 1: Write the proportion equation
   40,352 : 85,510 = 85,510 : x
2. Step 2: Convert to fraction form
   40,352/85,510 = 85,510/x
3. Step 3: Cross multiply
   40,352x = 85,510 × 85,510
4. Step 4: Simplify right side
   40,352x = 7,311,960,100
5. Step 5: Solve for x
   x = 7,311,960,100/40,352
6. Step 6: Final answer
   x = 181,204.40