Finding the Third Proportional to 322,414 and 498,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,414 : 498,442.50 = 498,442.50 : x
2. Step 2: Convert to fraction form
   322,414/498,442.50 = 498,442.50/x
3. Step 3: Cross multiply
   322,414x = 498,442.50 × 498,442.50
4. Step 4: Simplify right side
   322,414x = 248,444,925,806.25
5. Step 5: Solve for x
   x = 248,444,925,806.25/322,414
6. Step 6: Final answer
   x = 770,577.35