Finding the Third Proportional to 40,289 and 86,410

Step by Step Solution

1. Step 1: Write the proportion equation
   40,289 : 86,410 = 86,410 : x
2. Step 2: Convert to fraction form
   40,289/86,410 = 86,410/x
3. Step 3: Cross multiply
   40,289x = 86,410 × 86,410
4. Step 4: Simplify right side
   40,289x = 7,466,688,100
5. Step 5: Solve for x
   x = 7,466,688,100/40,289
6. Step 6: Final answer
   x = 185,328.21