Finding the Third Proportional to 90,874 and 186,281

Step by Step Solution

1. Step 1: Write the proportion equation
   90,874 : 186,281 = 186,281 : x
2. Step 2: Convert to fraction form
   90,874/186,281 = 186,281/x
3. Step 3: Cross multiply
   90,874x = 186,281 × 186,281
4. Step 4: Simplify right side
   90,874x = 34,700,610,961
5. Step 5: Solve for x
   x = 34,700,610,961/90,874
6. Step 6: Final answer
   x = 381,854.12