Finding the Third Proportional to 123,894.56 and 178,868.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,894.56 : 178,868.25 = 178,868.25 : x
2. Step 2: Convert to fraction form
   123,894.56/178,868.25 = 178,868.25/x
3. Step 3: Cross multiply
   123,894.56x = 178,868.25 × 178,868.25
4. Step 4: Simplify right side
   123,894.56x = 31,993,850,858.06
5. Step 5: Solve for x
   x = 31,993,850,858.06/123,894.56
6. Step 6: Final answer
   x = 258,234.50