Finding the Third Proportional to 86,076 and 185,166

Step by Step Solution

1. Step 1: Write the proportion equation
   86,076 : 185,166 = 185,166 : x
2. Step 2: Convert to fraction form
   86,076/185,166 = 185,166/x
3. Step 3: Cross multiply
   86,076x = 185,166 × 185,166
4. Step 4: Simplify right side
   86,076x = 34,286,447,556
5. Step 5: Solve for x
   x = 34,286,447,556/86,076
6. Step 6: Final answer
   x = 398,327.61