Finding the Third Proportional to 105,888 and 164,022.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,888 : 164,022.75 = 164,022.75 : x
2. Step 2: Convert to fraction form
   105,888/164,022.75 = 164,022.75/x
3. Step 3: Cross multiply
   105,888x = 164,022.75 × 164,022.75
4. Step 4: Simplify right side
   105,888x = 26,903,462,517.56
5. Step 5: Solve for x
   x = 26,903,462,517.56/105,888
6. Step 6: Final answer
   x = 254,074.71