Finding the Third Proportional to 343,140 and 495,024.75

Step by Step Solution

1. Step 1: Write the proportion equation
   343,140 : 495,024.75 = 495,024.75 : x
2. Step 2: Convert to fraction form
   343,140/495,024.75 = 495,024.75/x
3. Step 3: Cross multiply
   343,140x = 495,024.75 × 495,024.75
4. Step 4: Simplify right side
   343,140x = 245,049,503,112.56
5. Step 5: Solve for x
   x = 245,049,503,112.56/343,140
6. Step 6: Final answer
   x = 714,138.55