Finding the Third Proportional to 123,634.50 and 264,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,634.50 : 264,760.50 = 264,760.50 : x
2. Step 2: Convert to fraction form
   123,634.50/264,760.50 = 264,760.50/x
3. Step 3: Cross multiply
   123,634.50x = 264,760.50 × 264,760.50
4. Step 4: Simplify right side
   123,634.50x = 70,098,122,360.25
5. Step 5: Solve for x
   x = 70,098,122,360.25/123,634.50
6. Step 6: Final answer
   x = 566,978.65