Finding the Third Proportional to 415,288.50 and 593,856

Step by Step Solution

1. Step 1: Write the proportion equation
   415,288.50 : 593,856 = 593,856 : x
2. Step 2: Convert to fraction form
   415,288.50/593,856 = 593,856/x
3. Step 3: Cross multiply
   415,288.50x = 593,856 × 593,856
4. Step 4: Simplify right side
   415,288.50x = 352,664,948,736
5. Step 5: Solve for x
   x = 352,664,948,736/415,288.50
6. Step 6: Final answer
   x = 849,204.71