Finding the Third Proportional to 343,948.50 and 495,414

Step by Step Solution

1. Step 1: Write the proportion equation
   343,948.50 : 495,414 = 495,414 : x
2. Step 2: Convert to fraction form
   343,948.50/495,414 = 495,414/x
3. Step 3: Cross multiply
   343,948.50x = 495,414 × 495,414
4. Step 4: Simplify right side
   343,948.50x = 245,435,031,396
5. Step 5: Solve for x
   x = 245,435,031,396/343,948.50
6. Step 6: Final answer
   x = 713,580.76