Finding the Third Proportional to 181,596 and 300,114

Step by Step Solution

1. Step 1: Write the proportion equation
   181,596 : 300,114 = 300,114 : x
2. Step 2: Convert to fraction form
   181,596/300,114 = 300,114/x
3. Step 3: Cross multiply
   181,596x = 300,114 × 300,114
4. Step 4: Simplify right side
   181,596x = 90,068,412,996
5. Step 5: Solve for x
   x = 90,068,412,996/181,596
6. Step 6: Final answer
   x = 495,982.36