Finding the Third Proportional to 47,757 and 104,262

Step by Step Solution

1. Step 1: Write the proportion equation
   47,757 : 104,262 = 104,262 : x
2. Step 2: Convert to fraction form
   47,757/104,262 = 104,262/x
3. Step 3: Cross multiply
   47,757x = 104,262 × 104,262
4. Step 4: Simplify right side
   47,757x = 10,870,564,644
5. Step 5: Solve for x
   x = 10,870,564,644/47,757
6. Step 6: Final answer
   x = 227,622.44