Finding the Third Proportional to 41,978.25 and 86,418

Step by Step Solution

1. Step 1: Write the proportion equation
   41,978.25 : 86,418 = 86,418 : x
2. Step 2: Convert to fraction form
   41,978.25/86,418 = 86,418/x
3. Step 3: Cross multiply
   41,978.25x = 86,418 × 86,418
4. Step 4: Simplify right side
   41,978.25x = 7,468,070,724
5. Step 5: Solve for x
   x = 7,468,070,724/41,978.25
6. Step 6: Final answer
   x = 177,903.34