Finding the Third Proportional to 146,896 and 317,114

Step by Step Solution

1. Step 1: Write the proportion equation
   146,896 : 317,114 = 317,114 : x
2. Step 2: Convert to fraction form
   146,896/317,114 = 317,114/x
3. Step 3: Cross multiply
   146,896x = 317,114 × 317,114
4. Step 4: Simplify right side
   146,896x = 100,561,288,996
5. Step 5: Solve for x
   x = 100,561,288,996/146,896
6. Step 6: Final answer
   x = 684,574.73