Finding the Third Proportional to 146,432 and 317,816

Step by Step Solution

1. Step 1: Write the proportion equation
   146,432 : 317,816 = 317,816 : x
2. Step 2: Convert to fraction form
   146,432/317,816 = 317,816/x
3. Step 3: Cross multiply
   146,432x = 317,816 × 317,816
4. Step 4: Simplify right side
   146,432x = 101,007,009,856
5. Step 5: Solve for x
   x = 101,007,009,856/146,432
6. Step 6: Final answer
   x = 689,787.82