Finding the Third Proportional to 103,333.50 and 146,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,333.50 : 146,257.50 = 146,257.50 : x
2. Step 2: Convert to fraction form
   103,333.50/146,257.50 = 146,257.50/x
3. Step 3: Cross multiply
   103,333.50x = 146,257.50 × 146,257.50
4. Step 4: Simplify right side
   103,333.50x = 21,391,256,306.25
5. Step 5: Solve for x
   x = 21,391,256,306.25/103,333.50
6. Step 6: Final answer
   x = 207,011.82