Finding the Third Proportional to 52,978 and 112,274

Step by Step Solution

1. Step 1: Write the proportion equation
   52,978 : 112,274 = 112,274 : x
2. Step 2: Convert to fraction form
   52,978/112,274 = 112,274/x
3. Step 3: Cross multiply
   52,978x = 112,274 × 112,274
4. Step 4: Simplify right side
   52,978x = 12,605,451,076
5. Step 5: Solve for x
   x = 12,605,451,076/52,978
6. Step 6: Final answer
   x = 237,937.47