Finding the Third Proportional to 47,472 and 101,298

Step by Step Solution

1. Step 1: Write the proportion equation
   47,472 : 101,298 = 101,298 : x
2. Step 2: Convert to fraction form
   47,472/101,298 = 101,298/x
3. Step 3: Cross multiply
   47,472x = 101,298 × 101,298
4. Step 4: Simplify right side
   47,472x = 10,261,284,804
5. Step 5: Solve for x
   x = 10,261,284,804/47,472
6. Step 6: Final answer
   x = 216,154.47