Finding the Third Proportional to 319,162 and 472,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,162 : 472,580.50 = 472,580.50 : x
2. Step 2: Convert to fraction form
   319,162/472,580.50 = 472,580.50/x
3. Step 3: Cross multiply
   319,162x = 472,580.50 × 472,580.50
4. Step 4: Simplify right side
   319,162x = 223,332,328,980.25
5. Step 5: Solve for x
   x = 223,332,328,980.25/319,162
6. Step 6: Final answer
   x = 699,745.99