Finding the Third Proportional to 40,728 and 86,280

Step by Step Solution

1. Step 1: Write the proportion equation
   40,728 : 86,280 = 86,280 : x
2. Step 2: Convert to fraction form
   40,728/86,280 = 86,280/x
3. Step 3: Cross multiply
   40,728x = 86,280 × 86,280
4. Step 4: Simplify right side
   40,728x = 7,444,238,400
5. Step 5: Solve for x
   x = 7,444,238,400/40,728
6. Step 6: Final answer
   x = 182,779.38