Finding the Third Proportional to 40,980 and 86,370

Step by Step Solution

1. Step 1: Write the proportion equation
   40,980 : 86,370 = 86,370 : x
2. Step 2: Convert to fraction form
   40,980/86,370 = 86,370/x
3. Step 3: Cross multiply
   40,980x = 86,370 × 86,370
4. Step 4: Simplify right side
   40,980x = 7,459,776,900
5. Step 5: Solve for x
   x = 7,459,776,900/40,980
6. Step 6: Final answer
   x = 182,034.58