Finding the Third Proportional to 47,401 and 101,772

Step by Step Solution

1. Step 1: Write the proportion equation
   47,401 : 101,772 = 101,772 : x
2. Step 2: Convert to fraction form
   47,401/101,772 = 101,772/x
3. Step 3: Cross multiply
   47,401x = 101,772 × 101,772
4. Step 4: Simplify right side
   47,401x = 10,357,539,984
5. Step 5: Solve for x
   x = 10,357,539,984/47,401
6. Step 6: Final answer
   x = 218,508.89