Finding the Third Proportional to 48,644 and 106,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,644 : 106,514.50 = 106,514.50 : x
2. Step 2: Convert to fraction form
   48,644/106,514.50 = 106,514.50/x
3. Step 3: Cross multiply
   48,644x = 106,514.50 × 106,514.50
4. Step 4: Simplify right side
   48,644x = 11,345,338,710.25
5. Step 5: Solve for x
   x = 11,345,338,710.25/48,644
6. Step 6: Final answer
   x = 233,232.03