Finding the Third Proportional to 204,327 and 403,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,327 : 403,414.50 = 403,414.50 : x
2. Step 2: Convert to fraction form
   204,327/403,414.50 = 403,414.50/x
3. Step 3: Cross multiply
   204,327x = 403,414.50 × 403,414.50
4. Step 4: Simplify right side
   204,327x = 162,743,258,810.25
5. Step 5: Solve for x
   x = 162,743,258,810.25/204,327
6. Step 6: Final answer
   x = 796,484.36