Finding the Third Proportional to 142,756 and 313,760

Step by Step Solution

1. Step 1: Write the proportion equation
   142,756 : 313,760 = 313,760 : x
2. Step 2: Convert to fraction form
   142,756/313,760 = 313,760/x
3. Step 3: Cross multiply
   142,756x = 313,760 × 313,760
4. Step 4: Simplify right side
   142,756x = 98,445,337,600
5. Step 5: Solve for x
   x = 98,445,337,600/142,756
6. Step 6: Final answer
   x = 689,605.60