Finding the Third Proportional to 106,854 and 169,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,854 : 169,198.50 = 169,198.50 : x
2. Step 2: Convert to fraction form
   106,854/169,198.50 = 169,198.50/x
3. Step 3: Cross multiply
   106,854x = 169,198.50 × 169,198.50
4. Step 4: Simplify right side
   106,854x = 28,628,132,402.25
5. Step 5: Solve for x
   x = 28,628,132,402.25/106,854
6. Step 6: Final answer
   x = 267,918.21