Finding the Third Proportional to 322,480 and 508,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,480 : 508,458.50 = 508,458.50 : x
2. Step 2: Convert to fraction form
   322,480/508,458.50 = 508,458.50/x
3. Step 3: Cross multiply
   322,480x = 508,458.50 × 508,458.50
4. Step 4: Simplify right side
   322,480x = 258,530,046,222.25
5. Step 5: Solve for x
   x = 258,530,046,222.25/322,480
6. Step 6: Final answer
   x = 801,693.27