Finding the Third Proportional to 414,498.38 and 608,149.69

Step by Step Solution

1. Step 1: Write the proportion equation
   414,498.38 : 608,149.69 = 608,149.69 : x
2. Step 2: Convert to fraction form
   414,498.38/608,149.69 = 608,149.69/x
3. Step 3: Cross multiply
   414,498.38x = 608,149.69 × 608,149.69
4. Step 4: Simplify right side
   414,498.38x = 369,846,042,406.35
5. Step 5: Solve for x
   x = 369,846,042,406.35/414,498.38
6. Step 6: Final answer
   x = 892,273.81