Finding the Third Proportional to 106,000 and 164,760

Step by Step Solution

1. Step 1: Write the proportion equation
   106,000 : 164,760 = 164,760 : x
2. Step 2: Convert to fraction form
   106,000/164,760 = 164,760/x
3. Step 3: Cross multiply
   106,000x = 164,760 × 164,760
4. Step 4: Simplify right side
   106,000x = 27,145,857,600
5. Step 5: Solve for x
   x = 27,145,857,600/106,000
6. Step 6: Final answer
   x = 256,093.00