Finding the Third Proportional to 123,552 and 264,600

Step by Step Solution

1. Step 1: Write the proportion equation
   123,552 : 264,600 = 264,600 : x
2. Step 2: Convert to fraction form
   123,552/264,600 = 264,600/x
3. Step 3: Cross multiply
   123,552x = 264,600 × 264,600
4. Step 4: Simplify right side
   123,552x = 70,013,160,000
5. Step 5: Solve for x
   x = 70,013,160,000/123,552
6. Step 6: Final answer
   x = 566,669.58