Finding the Third Proportional to 40,076 and 86,186

Step by Step Solution

1. Step 1: Write the proportion equation
   40,076 : 86,186 = 86,186 : x
2. Step 2: Convert to fraction form
   40,076/86,186 = 86,186/x
3. Step 3: Cross multiply
   40,076x = 86,186 × 86,186
4. Step 4: Simplify right side
   40,076x = 7,428,026,596
5. Step 5: Solve for x
   x = 7,428,026,596/40,076
6. Step 6: Final answer
   x = 185,348.50