Finding the Third Proportional to 305,814 and 472,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   305,814 : 472,078.50 = 472,078.50 : x
2. Step 2: Convert to fraction form
   305,814/472,078.50 = 472,078.50/x
3. Step 3: Cross multiply
   305,814x = 472,078.50 × 472,078.50
4. Step 4: Simplify right side
   305,814x = 222,858,110,162.25
5. Step 5: Solve for x
   x = 222,858,110,162.25/305,814
6. Step 6: Final answer
   x = 728,737.44