Finding the Third Proportional to 96,514.50 and 139,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,514.50 : 139,234.50 = 139,234.50 : x
2. Step 2: Convert to fraction form
   96,514.50/139,234.50 = 139,234.50/x
3. Step 3: Cross multiply
   96,514.50x = 139,234.50 × 139,234.50
4. Step 4: Simplify right side
   96,514.50x = 19,386,245,990.25
5. Step 5: Solve for x
   x = 19,386,245,990.25/96,514.50
6. Step 6: Final answer
   x = 200,863.56