Finding the Third Proportional to 89,426.25 and 189,514.13

Step by Step Solution

1. Step 1: Write the proportion equation
   89,426.25 : 189,514.13 = 189,514.13 : x
2. Step 2: Convert to fraction form
   89,426.25/189,514.13 = 189,514.13/x
3. Step 3: Cross multiply
   89,426.25x = 189,514.13 × 189,514.13
4. Step 4: Simplify right side
   89,426.25x = 35,915,603,574.52
5. Step 5: Solve for x
   x = 35,915,603,574.52/89,426.25
6. Step 6: Final answer
   x = 401,622.61