Finding the Third Proportional to 413,748 and 632,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,748 : 632,650.50 = 632,650.50 : x
2. Step 2: Convert to fraction form
   413,748/632,650.50 = 632,650.50/x
3. Step 3: Cross multiply
   413,748x = 632,650.50 × 632,650.50
4. Step 4: Simplify right side
   413,748x = 400,246,655,150.25
5. Step 5: Solve for x
   x = 400,246,655,150.25/413,748
6. Step 6: Final answer
   x = 967,368.19