Finding the Third Proportional to 123,110.50 and 264,610.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,110.50 : 264,610.25 = 264,610.25 : x
2. Step 2: Convert to fraction form
   123,110.50/264,610.25 = 264,610.25/x
3. Step 3: Cross multiply
   123,110.50x = 264,610.25 × 264,610.25
4. Step 4: Simplify right side
   123,110.50x = 70,018,584,405.06
5. Step 5: Solve for x
   x = 70,018,584,405.06/123,110.50
6. Step 6: Final answer
   x = 568,745.84