Finding the Third Proportional to 87,899 and 186,274

Step by Step Solution

1. Step 1: Write the proportion equation
   87,899 : 186,274 = 186,274 : x
2. Step 2: Convert to fraction form
   87,899/186,274 = 186,274/x
3. Step 3: Cross multiply
   87,899x = 186,274 × 186,274
4. Step 4: Simplify right side
   87,899x = 34,698,003,076
5. Step 5: Solve for x
   x = 34,698,003,076/87,899
6. Step 6: Final answer
   x = 394,748.55