Finding the Third Proportional to 103,597.50 and 146,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,597.50 : 146,227.50 = 146,227.50 : x
2. Step 2: Convert to fraction form
   103,597.50/146,227.50 = 146,227.50/x
3. Step 3: Cross multiply
   103,597.50x = 146,227.50 × 146,227.50
4. Step 4: Simplify right side
   103,597.50x = 21,382,481,756.25
5. Step 5: Solve for x
   x = 21,382,481,756.25/103,597.50
6. Step 6: Final answer
   x = 206,399.59