Finding the Third Proportional to 105,817 and 164,028

Step by Step Solution

1. Step 1: Write the proportion equation
   105,817 : 164,028 = 164,028 : x
2. Step 2: Convert to fraction form
   105,817/164,028 = 164,028/x
3. Step 3: Cross multiply
   105,817x = 164,028 × 164,028
4. Step 4: Simplify right side
   105,817x = 26,905,184,784
5. Step 5: Solve for x
   x = 26,905,184,784/105,817
6. Step 6: Final answer
   x = 254,261.46