Finding the Third Proportional to 49,747.50 and 107,514

Step by Step Solution

1. Step 1: Write the proportion equation
   49,747.50 : 107,514 = 107,514 : x
2. Step 2: Convert to fraction form
   49,747.50/107,514 = 107,514/x
3. Step 3: Cross multiply
   49,747.50x = 107,514 × 107,514
4. Step 4: Simplify right side
   49,747.50x = 11,559,260,196
5. Step 5: Solve for x
   x = 11,559,260,196/49,747.50
6. Step 6: Final answer
   x = 232,358.61