Finding the Third Proportional to 47,763 and 101,216

Step by Step Solution

1. Step 1: Write the proportion equation
   47,763 : 101,216 = 101,216 : x
2. Step 2: Convert to fraction form
   47,763/101,216 = 101,216/x
3. Step 3: Cross multiply
   47,763x = 101,216 × 101,216
4. Step 4: Simplify right side
   47,763x = 10,244,678,656
5. Step 5: Solve for x
   x = 10,244,678,656/47,763
6. Step 6: Final answer
   x = 214,489.85