Finding the Third Proportional to 293,883.94 and 413,853.38

Step by Step Solution

1. Step 1: Write the proportion equation
   293,883.94 : 413,853.38 = 413,853.38 : x
2. Step 2: Convert to fraction form
   293,883.94/413,853.38 = 413,853.38/x
3. Step 3: Cross multiply
   293,883.94x = 413,853.38 × 413,853.38
4. Step 4: Simplify right side
   293,883.94x = 171,274,615,998.89
5. Step 5: Solve for x
   x = 171,274,615,998.89/293,883.94
6. Step 6: Final answer
   x = 582,796.79