Finding the Third Proportional to 146,584 and 319,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,584 : 319,398.50 = 319,398.50 : x
2. Step 2: Convert to fraction form
   146,584/319,398.50 = 319,398.50/x
3. Step 3: Cross multiply
   146,584x = 319,398.50 × 319,398.50
4. Step 4: Simplify right side
   146,584x = 102,015,401,802.25
5. Step 5: Solve for x
   x = 102,015,401,802.25/146,584
6. Step 6: Final answer
   x = 695,951.82