Finding the Third Proportional to 89,121 and 185,613

Step by Step Solution

1. Step 1: Write the proportion equation
   89,121 : 185,613 = 185,613 : x
2. Step 2: Convert to fraction form
   89,121/185,613 = 185,613/x
3. Step 3: Cross multiply
   89,121x = 185,613 × 185,613
4. Step 4: Simplify right side
   89,121x = 34,452,185,769
5. Step 5: Solve for x
   x = 34,452,185,769/89,121
6. Step 6: Final answer
   x = 386,577.64