Finding the Third Proportional to 40,406 and 86,428

Step by Step Solution

1. Step 1: Write the proportion equation
   40,406 : 86,428 = 86,428 : x
2. Step 2: Convert to fraction form
   40,406/86,428 = 86,428/x
3. Step 3: Cross multiply
   40,406x = 86,428 × 86,428
4. Step 4: Simplify right side
   40,406x = 7,469,799,184
5. Step 5: Solve for x
   x = 7,469,799,184/40,406
6. Step 6: Final answer
   x = 184,868.56