Finding the Third Proportional to 89,409 and 186,092

Step by Step Solution

1. Step 1: Write the proportion equation
   89,409 : 186,092 = 186,092 : x
2. Step 2: Convert to fraction form
   89,409/186,092 = 186,092/x
3. Step 3: Cross multiply
   89,409x = 186,092 × 186,092
4. Step 4: Simplify right side
   89,409x = 34,630,232,464
5. Step 5: Solve for x
   x = 34,630,232,464/89,409
6. Step 6: Final answer
   x = 387,323.79