Finding the Third Proportional to 111,799.50 and 166,178.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111,799.50 : 166,178.25 = 166,178.25 : x
2. Step 2: Convert to fraction form
   111,799.50/166,178.25 = 166,178.25/x
3. Step 3: Cross multiply
   111,799.50x = 166,178.25 × 166,178.25
4. Step 4: Simplify right side
   111,799.50x = 27,615,210,773.06
5. Step 5: Solve for x
   x = 27,615,210,773.06/111,799.50
6. Step 6: Final answer
   x = 247,006.57