Finding the Third Proportional to 344,284 and 495,870

Step by Step Solution

1. Step 1: Write the proportion equation
   344,284 : 495,870 = 495,870 : x
2. Step 2: Convert to fraction form
   344,284/495,870 = 495,870/x
3. Step 3: Cross multiply
   344,284x = 495,870 × 495,870
4. Step 4: Simplify right side
   344,284x = 245,887,056,900
5. Step 5: Solve for x
   x = 245,887,056,900/344,284
6. Step 6: Final answer
   x = 714,198.33