Finding the Third Proportional to 103,852.50 and 225,930

Step by Step Solution

1. Step 1: Write the proportion equation
   103,852.50 : 225,930 = 225,930 : x
2. Step 2: Convert to fraction form
   103,852.50/225,930 = 225,930/x
3. Step 3: Cross multiply
   103,852.50x = 225,930 × 225,930
4. Step 4: Simplify right side
   103,852.50x = 51,044,364,900
5. Step 5: Solve for x
   x = 51,044,364,900/103,852.50
6. Step 6: Final answer
   x = 491,508.29