Finding the Third Proportional to 47,600 and 112,556

Step by Step Solution

1. Step 1: Write the proportion equation
   47,600 : 112,556 = 112,556 : x
2. Step 2: Convert to fraction form
   47,600/112,556 = 112,556/x
3. Step 3: Cross multiply
   47,600x = 112,556 × 112,556
4. Step 4: Simplify right side
   47,600x = 12,668,853,136
5. Step 5: Solve for x
   x = 12,668,853,136/47,600
6. Step 6: Final answer
   x = 266,152.38