Finding the Third Proportional to 105,421.50 and 165,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,421.50 : 165,685.50 = 165,685.50 : x
2. Step 2: Convert to fraction form
   105,421.50/165,685.50 = 165,685.50/x
3. Step 3: Cross multiply
   105,421.50x = 165,685.50 × 165,685.50
4. Step 4: Simplify right side
   105,421.50x = 27,451,684,910.25
5. Step 5: Solve for x
   x = 27,451,684,910.25/105,421.50
6. Step 6: Final answer
   x = 260,399.30