Finding the Third Proportional to 205,312.50 and 274,635

Step by Step Solution

1. Step 1: Write the proportion equation
   205,312.50 : 274,635 = 274,635 : x
2. Step 2: Convert to fraction form
   205,312.50/274,635 = 274,635/x
3. Step 3: Cross multiply
   205,312.50x = 274,635 × 274,635
4. Step 4: Simplify right side
   205,312.50x = 75,424,383,225
5. Step 5: Solve for x
   x = 75,424,383,225/205,312.50
6. Step 6: Final answer
   x = 367,363.81