Finding the Third Proportional to 40,078 and 86,580

Step by Step Solution

1. Step 1: Write the proportion equation
   40,078 : 86,580 = 86,580 : x
2. Step 2: Convert to fraction form
   40,078/86,580 = 86,580/x
3. Step 3: Cross multiply
   40,078x = 86,580 × 86,580
4. Step 4: Simplify right side
   40,078x = 7,496,096,400
5. Step 5: Solve for x
   x = 7,496,096,400/40,078
6. Step 6: Final answer
   x = 187,037.69