Finding the Third Proportional to 200,799 and 322,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,799 : 322,906.50 = 322,906.50 : x
2. Step 2: Convert to fraction form
   200,799/322,906.50 = 322,906.50/x
3. Step 3: Cross multiply
   200,799x = 322,906.50 × 322,906.50
4. Step 4: Simplify right side
   200,799x = 104,268,607,742.25
5. Step 5: Solve for x
   x = 104,268,607,742.25/200,799
6. Step 6: Final answer
   x = 519,268.56