Finding the Third Proportional to 51,434 and 112,222

Step by Step Solution

1. Step 1: Write the proportion equation
   51,434 : 112,222 = 112,222 : x
2. Step 2: Convert to fraction form
   51,434/112,222 = 112,222/x
3. Step 3: Cross multiply
   51,434x = 112,222 × 112,222
4. Step 4: Simplify right side
   51,434x = 12,593,777,284
5. Step 5: Solve for x
   x = 12,593,777,284/51,434
6. Step 6: Final answer
   x = 244,853.16