Finding the Third Proportional to 89,426 and 186,193

Step by Step Solution

1. Step 1: Write the proportion equation
   89,426 : 186,193 = 186,193 : x
2. Step 2: Convert to fraction form
   89,426/186,193 = 186,193/x
3. Step 3: Cross multiply
   89,426x = 186,193 × 186,193
4. Step 4: Simplify right side
   89,426x = 34,667,833,249
5. Step 5: Solve for x
   x = 34,667,833,249/89,426
6. Step 6: Final answer
   x = 387,670.62