Finding the Third Proportional to 50,077.50 and 77,514

Step by Step Solution

1. Step 1: Write the proportion equation
   50,077.50 : 77,514 = 77,514 : x
2. Step 2: Convert to fraction form
   50,077.50/77,514 = 77,514/x
3. Step 3: Cross multiply
   50,077.50x = 77,514 × 77,514
4. Step 4: Simplify right side
   50,077.50x = 6,008,420,196
5. Step 5: Solve for x
   x = 6,008,420,196/50,077.50
6. Step 6: Final answer
   x = 119,982.43