Finding the Third Proportional to 40,012 and 86,078

Step by Step Solution

1. Step 1: Write the proportion equation
   40,012 : 86,078 = 86,078 : x
2. Step 2: Convert to fraction form
   40,012/86,078 = 86,078/x
3. Step 3: Cross multiply
   40,012x = 86,078 × 86,078
4. Step 4: Simplify right side
   40,012x = 7,409,422,084
5. Step 5: Solve for x
   x = 7,409,422,084/40,012
6. Step 6: Final answer
   x = 185,180.00