Finding the Third Proportional to 89,452.13 and 189,569.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,452.13 : 189,569.25 = 189,569.25 : x
2. Step 2: Convert to fraction form
   89,452.13/189,569.25 = 189,569.25/x
3. Step 3: Cross multiply
   89,452.13x = 189,569.25 × 189,569.25
4. Step 4: Simplify right side
   89,452.13x = 35,936,500,545.56
5. Step 5: Solve for x
   x = 35,936,500,545.56/89,452.13
6. Step 6: Final answer
   x = 401,740.04