Finding the Third Proportional to 316,635 and 489,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   316,635 : 489,653.50 = 489,653.50 : x
2. Step 2: Convert to fraction form
   316,635/489,653.50 = 489,653.50/x
3. Step 3: Cross multiply
   316,635x = 489,653.50 × 489,653.50
4. Step 4: Simplify right side
   316,635x = 239,760,550,062.25
5. Step 5: Solve for x
   x = 239,760,550,062.25/316,635
6. Step 6: Final answer
   x = 757,214.30