Finding the Third Proportional to 47,556 and 102,472

Step by Step Solution

1. Step 1: Write the proportion equation
   47,556 : 102,472 = 102,472 : x
2. Step 2: Convert to fraction form
   47,556/102,472 = 102,472/x
3. Step 3: Cross multiply
   47,556x = 102,472 × 102,472
4. Step 4: Simplify right side
   47,556x = 10,500,510,784
5. Step 5: Solve for x
   x = 10,500,510,784/47,556
6. Step 6: Final answer
   x = 220,803.07