Finding the Third Proportional to 105,758 and 164,007

Step by Step Solution

1. Step 1: Write the proportion equation
   105,758 : 164,007 = 164,007 : x
2. Step 2: Convert to fraction form
   105,758/164,007 = 164,007/x
3. Step 3: Cross multiply
   105,758x = 164,007 × 164,007
4. Step 4: Simplify right side
   105,758x = 26,898,296,049
5. Step 5: Solve for x
   x = 26,898,296,049/105,758
6. Step 6: Final answer
   x = 254,338.17