Finding the Third Proportional to 146,082 and 314,676

Step by Step Solution

1. Step 1: Write the proportion equation
   146,082 : 314,676 = 314,676 : x
2. Step 2: Convert to fraction form
   146,082/314,676 = 314,676/x
3. Step 3: Cross multiply
   146,082x = 314,676 × 314,676
4. Step 4: Simplify right side
   146,082x = 99,020,984,976
5. Step 5: Solve for x
   x = 99,020,984,976/146,082
6. Step 6: Final answer
   x = 677,845.22