Finding the Third Proportional to 105,253.50 and 164,922

Step by Step Solution

1. Step 1: Write the proportion equation
   105,253.50 : 164,922 = 164,922 : x
2. Step 2: Convert to fraction form
   105,253.50/164,922 = 164,922/x
3. Step 3: Cross multiply
   105,253.50x = 164,922 × 164,922
4. Step 4: Simplify right side
   105,253.50x = 27,199,266,084
5. Step 5: Solve for x
   x = 27,199,266,084/105,253.50
6. Step 6: Final answer
   x = 258,416.74