Finding the Third Proportional to 123,660 and 264,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,660 : 264,829.50 = 264,829.50 : x
2. Step 2: Convert to fraction form
   123,660/264,829.50 = 264,829.50/x
3. Step 3: Cross multiply
   123,660x = 264,829.50 × 264,829.50
4. Step 4: Simplify right side
   123,660x = 70,134,664,070.25
5. Step 5: Solve for x
   x = 70,134,664,070.25/123,660
6. Step 6: Final answer
   x = 567,157.24