Finding the Third Proportional to 20,846 and 49,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,846 : 49,178.50 = 49,178.50 : x
2. Step 2: Convert to fraction form
   20,846/49,178.50 = 49,178.50/x
3. Step 3: Cross multiply
   20,846x = 49,178.50 × 49,178.50
4. Step 4: Simplify right side
   20,846x = 2,418,524,862.25
5. Step 5: Solve for x
   x = 2,418,524,862.25/20,846
6. Step 6: Final answer
   x = 116,018.65