Finding the Third Proportional to 413,751 and 632,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,751 : 632,659.50 = 632,659.50 : x
2. Step 2: Convert to fraction form
   413,751/632,659.50 = 632,659.50/x
3. Step 3: Cross multiply
   413,751x = 632,659.50 × 632,659.50
4. Step 4: Simplify right side
   413,751x = 400,258,042,940.25
5. Step 5: Solve for x
   x = 400,258,042,940.25/413,751
6. Step 6: Final answer
   x = 967,388.70