Finding the Third Proportional to 315,411 and 472,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   315,411 : 472,648.50 = 472,648.50 : x
2. Step 2: Convert to fraction form
   315,411/472,648.50 = 472,648.50/x
3. Step 3: Cross multiply
   315,411x = 472,648.50 × 472,648.50
4. Step 4: Simplify right side
   315,411x = 223,396,604,552.25
5. Step 5: Solve for x
   x = 223,396,604,552.25/315,411
6. Step 6: Final answer
   x = 708,271.44