Finding the Third Proportional to 50,978 and 112,324

Step by Step Solution

1. Step 1: Write the proportion equation
   50,978 : 112,324 = 112,324 : x
2. Step 2: Convert to fraction form
   50,978/112,324 = 112,324/x
3. Step 3: Cross multiply
   50,978x = 112,324 × 112,324
4. Step 4: Simplify right side
   50,978x = 12,616,680,976
5. Step 5: Solve for x
   x = 12,616,680,976/50,978
6. Step 6: Final answer
   x = 247,492.66