Finding the Third Proportional to 106,671 and 165,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,671 : 165,208.50 = 165,208.50 : x
2. Step 2: Convert to fraction form
   106,671/165,208.50 = 165,208.50/x
3. Step 3: Cross multiply
   106,671x = 165,208.50 × 165,208.50
4. Step 4: Simplify right side
   106,671x = 27,293,848,472.25
5. Step 5: Solve for x
   x = 27,293,848,472.25/106,671
6. Step 6: Final answer
   x = 255,869.43