Finding the Third Proportional to 140,835 and 313,155

Step by Step Solution

1. Step 1: Write the proportion equation
   140,835 : 313,155 = 313,155 : x
2. Step 2: Convert to fraction form
   140,835/313,155 = 313,155/x
3. Step 3: Cross multiply
   140,835x = 313,155 × 313,155
4. Step 4: Simplify right side
   140,835x = 98,066,054,025
5. Step 5: Solve for x
   x = 98,066,054,025/140,835
6. Step 6: Final answer
   x = 696,318.77