Finding the Third Proportional to 89,217 and 185,834.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,217 : 185,834.25 = 185,834.25 : x
2. Step 2: Convert to fraction form
   89,217/185,834.25 = 185,834.25/x
3. Step 3: Cross multiply
   89,217x = 185,834.25 × 185,834.25
4. Step 4: Simplify right side
   89,217x = 34,534,368,473.06
5. Step 5: Solve for x
   x = 34,534,368,473.06/89,217
6. Step 6: Final answer
   x = 387,082.83