Finding the Third Proportional to 229,003.50 and 266,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,003.50 : 266,182.50 = 266,182.50 : x
2. Step 2: Convert to fraction form
   229,003.50/266,182.50 = 266,182.50/x
3. Step 3: Cross multiply
   229,003.50x = 266,182.50 × 266,182.50
4. Step 4: Simplify right side
   229,003.50x = 70,853,123,306.25
5. Step 5: Solve for x
   x = 70,853,123,306.25/229,003.50
6. Step 6: Final answer
   x = 309,397.56