Finding the Third Proportional to 146,114 and 315,508

Step by Step Solution

1. Step 1: Write the proportion equation
   146,114 : 315,508 = 315,508 : x
2. Step 2: Convert to fraction form
   146,114/315,508 = 315,508/x
3. Step 3: Cross multiply
   146,114x = 315,508 × 315,508
4. Step 4: Simplify right side
   146,114x = 99,545,298,064
5. Step 5: Solve for x
   x = 99,545,298,064/146,114
6. Step 6: Final answer
   x = 681,285.15