Finding the Third Proportional to 415,908 and 594,317.25

Step by Step Solution

1. Step 1: Write the proportion equation
   415,908 : 594,317.25 = 594,317.25 : x
2. Step 2: Convert to fraction form
   415,908/594,317.25 = 594,317.25/x
3. Step 3: Cross multiply
   415,908x = 594,317.25 × 594,317.25
4. Step 4: Simplify right side
   415,908x = 353,212,993,647.56
5. Step 5: Solve for x
   x = 353,212,993,647.56/415,908
6. Step 6: Final answer
   x = 849,257.51