Finding the Third Proportional to 47,020 and 101,456

Step by Step Solution

1. Step 1: Write the proportion equation
   47,020 : 101,456 = 101,456 : x
2. Step 2: Convert to fraction form
   47,020/101,456 = 101,456/x
3. Step 3: Cross multiply
   47,020x = 101,456 × 101,456
4. Step 4: Simplify right side
   47,020x = 10,293,319,936
5. Step 5: Solve for x
   x = 10,293,319,936/47,020
6. Step 6: Final answer
   x = 218,913.65