Finding the Third Proportional to 40,080 and 86,584

Step by Step Solution

1. Step 1: Write the proportion equation
   40,080 : 86,584 = 86,584 : x
2. Step 2: Convert to fraction form
   40,080/86,584 = 86,584/x
3. Step 3: Cross multiply
   40,080x = 86,584 × 86,584
4. Step 4: Simplify right side
   40,080x = 7,496,789,056
5. Step 5: Solve for x
   x = 7,496,789,056/40,080
6. Step 6: Final answer
   x = 187,045.64