Finding the Third Proportional to 200,880 and 311,242.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,880 : 311,242.50 = 311,242.50 : x
2. Step 2: Convert to fraction form
   200,880/311,242.50 = 311,242.50/x
3. Step 3: Cross multiply
   200,880x = 311,242.50 × 311,242.50
4. Step 4: Simplify right side
   200,880x = 96,871,893,806.25
5. Step 5: Solve for x
   x = 96,871,893,806.25/200,880
6. Step 6: Final answer
   x = 482,237.62