Finding the Third Proportional to 146,898 and 317,118

Step by Step Solution

1. Step 1: Write the proportion equation
   146,898 : 317,118 = 317,118 : x
2. Step 2: Convert to fraction form
   146,898/317,118 = 317,118/x
3. Step 3: Cross multiply
   146,898x = 317,118 × 317,118
4. Step 4: Simplify right side
   146,898x = 100,563,825,924
5. Step 5: Solve for x
   x = 100,563,825,924/146,898
6. Step 6: Final answer
   x = 684,582.68