Finding the Third Proportional to 200,622 and 311,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,622 : 311,647.50 = 311,647.50 : x
2. Step 2: Convert to fraction form
   200,622/311,647.50 = 311,647.50/x
3. Step 3: Cross multiply
   200,622x = 311,647.50 × 311,647.50
4. Step 4: Simplify right side
   200,622x = 97,124,164,256.25
5. Step 5: Solve for x
   x = 97,124,164,256.25/200,622
6. Step 6: Final answer
   x = 484,115.22