Finding the Third Proportional to 40,311 and 85,428

Step by Step Solution

1. Step 1: Write the proportion equation
   40,311 : 85,428 = 85,428 : x
2. Step 2: Convert to fraction form
   40,311/85,428 = 85,428/x
3. Step 3: Cross multiply
   40,311x = 85,428 × 85,428
4. Step 4: Simplify right side
   40,311x = 7,297,943,184
5. Step 5: Solve for x
   x = 7,297,943,184/40,311
6. Step 6: Final answer
   x = 181,040.99