Finding the Third Proportional to 106,359 and 164,667.75

Step by Step Solution

1. Step 1: Write the proportion equation
   106,359 : 164,667.75 = 164,667.75 : x
2. Step 2: Convert to fraction form
   106,359/164,667.75 = 164,667.75/x
3. Step 3: Cross multiply
   106,359x = 164,667.75 × 164,667.75
4. Step 4: Simplify right side
   106,359x = 27,115,467,890.06
5. Step 5: Solve for x
   x = 27,115,467,890.06/106,359
6. Step 6: Final answer
   x = 254,942.86