Finding the Third Proportional to 200,970 and 311,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,970 : 311,041.50 = 311,041.50 : x
2. Step 2: Convert to fraction form
   200,970/311,041.50 = 311,041.50/x
3. Step 3: Cross multiply
   200,970x = 311,041.50 × 311,041.50
4. Step 4: Simplify right side
   200,970x = 96,746,814,722.25
5. Step 5: Solve for x
   x = 96,746,814,722.25/200,970
6. Step 6: Final answer
   x = 481,399.29