Finding the Third Proportional to 89,119 and 185,609

Step by Step Solution

1. Step 1: Write the proportion equation
   89,119 : 185,609 = 185,609 : x
2. Step 2: Convert to fraction form
   89,119/185,609 = 185,609/x
3. Step 3: Cross multiply
   89,119x = 185,609 × 185,609
4. Step 4: Simplify right side
   89,119x = 34,450,700,881
5. Step 5: Solve for x
   x = 34,450,700,881/89,119
6. Step 6: Final answer
   x = 386,569.65