Finding the Third Proportional to 129,816 and 200,456

Step by Step Solution

1. Step 1: Write the proportion equation
   129,816 : 200,456 = 200,456 : x
2. Step 2: Convert to fraction form
   129,816/200,456 = 200,456/x
3. Step 3: Cross multiply
   129,816x = 200,456 × 200,456
4. Step 4: Simplify right side
   129,816x = 40,182,607,936
5. Step 5: Solve for x
   x = 40,182,607,936/129,816
6. Step 6: Final answer
   x = 309,535.10