Finding the Third Proportional to 105,114 and 163,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,114 : 163,198.50 = 163,198.50 : x
2. Step 2: Convert to fraction form
   105,114/163,198.50 = 163,198.50/x
3. Step 3: Cross multiply
   105,114x = 163,198.50 × 163,198.50
4. Step 4: Simplify right side
   105,114x = 26,633,750,402.25
5. Step 5: Solve for x
   x = 26,633,750,402.25/105,114
6. Step 6: Final answer
   x = 253,379.67