Finding the Third Proportional to 47,296 and 101,768

Step by Step Solution

1. Step 1: Write the proportion equation
   47,296 : 101,768 = 101,768 : x
2. Step 2: Convert to fraction form
   47,296/101,768 = 101,768/x
3. Step 3: Cross multiply
   47,296x = 101,768 × 101,768
4. Step 4: Simplify right side
   47,296x = 10,356,725,824
5. Step 5: Solve for x
   x = 10,356,725,824/47,296
6. Step 6: Final answer
   x = 218,976.78