Finding the Third Proportional to 23,178 and 49,850.25

Step by Step Solution

1. Step 1: Write the proportion equation
   23,178 : 49,850.25 = 49,850.25 : x
2. Step 2: Convert to fraction form
   23,178/49,850.25 = 49,850.25/x
3. Step 3: Cross multiply
   23,178x = 49,850.25 × 49,850.25
4. Step 4: Simplify right side
   23,178x = 2,485,047,425.06
5. Step 5: Solve for x
   x = 2,485,047,425.06/23,178
6. Step 6: Final answer
   x = 107,215.78