Finding the Third Proportional to 123,610.50 and 264,716.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,610.50 : 264,716.50 = 264,716.50 : x
2. Step 2: Convert to fraction form
   123,610.50/264,716.50 = 264,716.50/x
3. Step 3: Cross multiply
   123,610.50x = 264,716.50 × 264,716.50
4. Step 4: Simplify right side
   123,610.50x = 70,074,825,372.25
5. Step 5: Solve for x
   x = 70,074,825,372.25/123,610.50
6. Step 6: Final answer
   x = 566,900.27