Finding the Third Proportional to 89,426.25 and 189,514.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,426.25 : 189,514.25 = 189,514.25 : x
2. Step 2: Convert to fraction form
   89,426.25/189,514.25 = 189,514.25/x
3. Step 3: Cross multiply
   89,426.25x = 189,514.25 × 189,514.25
4. Step 4: Simplify right side
   89,426.25x = 35,915,650,953.06
5. Step 5: Solve for x
   x = 35,915,650,953.06/89,426.25
6. Step 6: Final answer
   x = 401,623.14