Finding the Third Proportional to 86,670 and 186,274

Step by Step Solution

1. Step 1: Write the proportion equation
   86,670 : 186,274 = 186,274 : x
2. Step 2: Convert to fraction form
   86,670/186,274 = 186,274/x
3. Step 3: Cross multiply
   86,670x = 186,274 × 186,274
4. Step 4: Simplify right side
   86,670x = 34,698,003,076
5. Step 5: Solve for x
   x = 34,698,003,076/86,670
6. Step 6: Final answer
   x = 400,346.18