Finding the Third Proportional to 202,572 and 268,850.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,572 : 268,850.50 = 268,850.50 : x
2. Step 2: Convert to fraction form
   202,572/268,850.50 = 268,850.50/x
3. Step 3: Cross multiply
   202,572x = 268,850.50 × 268,850.50
4. Step 4: Simplify right side
   202,572x = 72,280,591,350.25
5. Step 5: Solve for x
   x = 72,280,591,350.25/202,572
6. Step 6: Final answer
   x = 356,814.32