Finding the Third Proportional to 52,538 and 112,456

Step by Step Solution

1. Step 1: Write the proportion equation
   52,538 : 112,456 = 112,456 : x
2. Step 2: Convert to fraction form
   52,538/112,456 = 112,456/x
3. Step 3: Cross multiply
   52,538x = 112,456 × 112,456
4. Step 4: Simplify right side
   52,538x = 12,646,351,936
5. Step 5: Solve for x
   x = 12,646,351,936/52,538
6. Step 6: Final answer
   x = 240,708.67