Finding the Third Proportional to 109,279.50 and 166,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,279.50 : 166,186.50 = 166,186.50 : x
2. Step 2: Convert to fraction form
   109,279.50/166,186.50 = 166,186.50/x
3. Step 3: Cross multiply
   109,279.50x = 166,186.50 × 166,186.50
4. Step 4: Simplify right side
   109,279.50x = 27,617,952,782.25
5. Step 5: Solve for x
   x = 27,617,952,782.25/109,279.50
6. Step 6: Final answer
   x = 252,727.66