Finding the Third Proportional to 415,801 and 632,449.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,801 : 632,449.50 = 632,449.50 : x
2. Step 2: Convert to fraction form
   415,801/632,449.50 = 632,449.50/x
3. Step 3: Cross multiply
   415,801x = 632,449.50 × 632,449.50
4. Step 4: Simplify right side
   415,801x = 399,992,370,050.25
5. Step 5: Solve for x
   x = 399,992,370,050.25/415,801
6. Step 6: Final answer
   x = 961,980.30