Finding the Third Proportional to 146,853 and 317,034

Step by Step Solution

1. Step 1: Write the proportion equation
   146,853 : 317,034 = 317,034 : x
2. Step 2: Convert to fraction form
   146,853/317,034 = 317,034/x
3. Step 3: Cross multiply
   146,853x = 317,034 × 317,034
4. Step 4: Simplify right side
   146,853x = 100,510,557,156
5. Step 5: Solve for x
   x = 100,510,557,156/146,853
6. Step 6: Final answer
   x = 684,429.72