Finding the Third Proportional to 106,355.25 and 164,661.38

Step by Step Solution

1. Step 1: Write the proportion equation
   106,355.25 : 164,661.38 = 164,661.38 : x
2. Step 2: Convert to fraction form
   106,355.25/164,661.38 = 164,661.38/x
3. Step 3: Cross multiply
   106,355.25x = 164,661.38 × 164,661.38
4. Step 4: Simplify right side
   106,355.25x = 27,113,368,416.89
5. Step 5: Solve for x
   x = 27,113,368,416.89/106,355.25
6. Step 6: Final answer
   x = 254,932.11