Finding the Third Proportional to 322,418 and 498,448.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,418 : 498,448.50 = 498,448.50 : x
2. Step 2: Convert to fraction form
   322,418/498,448.50 = 498,448.50/x
3. Step 3: Cross multiply
   322,418x = 498,448.50 × 498,448.50
4. Step 4: Simplify right side
   322,418x = 248,450,907,152.25
5. Step 5: Solve for x
   x = 248,450,907,152.25/322,418
6. Step 6: Final answer
   x = 770,586.34