Finding the Third Proportional to 49,822.50 and 117,225

Step by Step Solution

1. Step 1: Write the proportion equation
   49,822.50 : 117,225 = 117,225 : x
2. Step 2: Convert to fraction form
   49,822.50/117,225 = 117,225/x
3. Step 3: Cross multiply
   49,822.50x = 117,225 × 117,225
4. Step 4: Simplify right side
   49,822.50x = 13,741,700,625
5. Step 5: Solve for x
   x = 13,741,700,625/49,822.50
6. Step 6: Final answer
   x = 275,813.15