Finding the Third Proportional to 322,656 and 501,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,656 : 501,241.50 = 501,241.50 : x
2. Step 2: Convert to fraction form
   322,656/501,241.50 = 501,241.50/x
3. Step 3: Cross multiply
   322,656x = 501,241.50 × 501,241.50
4. Step 4: Simplify right side
   322,656x = 251,243,041,322.25
5. Step 5: Solve for x
   x = 251,243,041,322.25/322,656
6. Step 6: Final answer
   x = 778,671.53