Finding the Third Proportional to 90,894 and 186,192

Step by Step Solution

1. Step 1: Write the proportion equation
   90,894 : 186,192 = 186,192 : x
2. Step 2: Convert to fraction form
   90,894/186,192 = 186,192/x
3. Step 3: Cross multiply
   90,894x = 186,192 × 186,192
4. Step 4: Simplify right side
   90,894x = 34,667,460,864
5. Step 5: Solve for x
   x = 34,667,460,864/90,894
6. Step 6: Final answer
   x = 381,405.38