Finding the Third Proportional to 200,646 and 311,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,646 : 311,683.50 = 311,683.50 : x
2. Step 2: Convert to fraction form
   200,646/311,683.50 = 311,683.50/x
3. Step 3: Cross multiply
   200,646x = 311,683.50 × 311,683.50
4. Step 4: Simplify right side
   200,646x = 97,146,604,172.25
5. Step 5: Solve for x
   x = 97,146,604,172.25/200,646
6. Step 6: Final answer
   x = 484,169.15