Finding the Third Proportional to 71,900 and 108,852

Step by Step Solution

1. Step 1: Write the proportion equation
   71,900 : 108,852 = 108,852 : x
2. Step 2: Convert to fraction form
   71,900/108,852 = 108,852/x
3. Step 3: Cross multiply
   71,900x = 108,852 × 108,852
4. Step 4: Simplify right side
   71,900x = 11,848,757,904
5. Step 5: Solve for x
   x = 11,848,757,904/71,900
6. Step 6: Final answer
   x = 164,794.96