Finding the Third Proportional to 181,585.50 and 300,098.25

Step by Step Solution

1. Step 1: Write the proportion equation
   181,585.50 : 300,098.25 = 300,098.25 : x
2. Step 2: Convert to fraction form
   181,585.50/300,098.25 = 300,098.25/x
3. Step 3: Cross multiply
   181,585.50x = 300,098.25 × 300,098.25
4. Step 4: Simplify right side
   181,585.50x = 90,058,959,653.06
5. Step 5: Solve for x
   x = 90,058,959,653.06/181,585.50
6. Step 6: Final answer
   x = 495,958.98