Finding the Third Proportional to 89,074 and 185,493

Step by Step Solution

1. Step 1: Write the proportion equation
   89,074 : 185,493 = 185,493 : x
2. Step 2: Convert to fraction form
   89,074/185,493 = 185,493/x
3. Step 3: Cross multiply
   89,074x = 185,493 × 185,493
4. Step 4: Simplify right side
   89,074x = 34,407,653,049
5. Step 5: Solve for x
   x = 34,407,653,049/89,074
6. Step 6: Final answer
   x = 386,281.67