Finding the Third Proportional to 322,477 and 508,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,477 : 508,453.50 = 508,453.50 : x
2. Step 2: Convert to fraction form
   322,477/508,453.50 = 508,453.50/x
3. Step 3: Cross multiply
   322,477x = 508,453.50 × 508,453.50
4. Step 4: Simplify right side
   322,477x = 258,524,961,662.25
5. Step 5: Solve for x
   x = 258,524,961,662.25/322,477
6. Step 6: Final answer
   x = 801,684.96