Finding the Third Proportional to 48,514 and 106,044.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,514 : 106,044.50 = 106,044.50 : x
2. Step 2: Convert to fraction form
   48,514/106,044.50 = 106,044.50/x
3. Step 3: Cross multiply
   48,514x = 106,044.50 × 106,044.50
4. Step 4: Simplify right side
   48,514x = 11,245,435,980.25
5. Step 5: Solve for x
   x = 11,245,435,980.25/48,514
6. Step 6: Final answer
   x = 231,797.75