Finding the Third Proportional to 47,630 and 112,271

Step by Step Solution

1. Step 1: Write the proportion equation
   47,630 : 112,271 = 112,271 : x
2. Step 2: Convert to fraction form
   47,630/112,271 = 112,271/x
3. Step 3: Cross multiply
   47,630x = 112,271 × 112,271
4. Step 4: Simplify right side
   47,630x = 12,604,777,441
5. Step 5: Solve for x
   x = 12,604,777,441/47,630
6. Step 6: Final answer
   x = 264,639.46