Finding the Third Proportional to 50,380 and 75,578

Step by Step Solution

1. Step 1: Write the proportion equation
   50,380 : 75,578 = 75,578 : x
2. Step 2: Convert to fraction form
   50,380/75,578 = 75,578/x
3. Step 3: Cross multiply
   50,380x = 75,578 × 75,578
4. Step 4: Simplify right side
   50,380x = 5,712,034,084
5. Step 5: Solve for x
   x = 5,712,034,084/50,380
6. Step 6: Final answer
   x = 113,379.00