Finding the Third Proportional to 107,166.38 and 169,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,166.38 : 169,546.50 = 169,546.50 : x
2. Step 2: Convert to fraction form
   107,166.38/169,546.50 = 169,546.50/x
3. Step 3: Cross multiply
   107,166.38x = 169,546.50 × 169,546.50
4. Step 4: Simplify right side
   107,166.38x = 28,746,015,662.25
5. Step 5: Solve for x
   x = 28,746,015,662.25/107,166.38
6. Step 6: Final answer
   x = 268,237.27