Finding the Third Proportional to 344,221 and 495,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   344,221 : 495,774.50 = 495,774.50 : x
2. Step 2: Convert to fraction form
   344,221/495,774.50 = 495,774.50/x
3. Step 3: Cross multiply
   344,221x = 495,774.50 × 495,774.50
4. Step 4: Simplify right side
   344,221x = 245,792,354,850.25
5. Step 5: Solve for x
   x = 245,792,354,850.25/344,221
6. Step 6: Final answer
   x = 714,053.92