Finding the Third Proportional to 315,109 and 472,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   315,109 : 472,894.50 = 472,894.50 : x
2. Step 2: Convert to fraction form
   315,109/472,894.50 = 472,894.50/x
3. Step 3: Cross multiply
   315,109x = 472,894.50 × 472,894.50
4. Step 4: Simplify right side
   315,109x = 223,629,208,130.25
5. Step 5: Solve for x
   x = 223,629,208,130.25/315,109
6. Step 6: Final answer
   x = 709,688.42