Finding the Third Proportional to 123,600 and 264,696

Step by Step Solution

1. Step 1: Write the proportion equation
   123,600 : 264,696 = 264,696 : x
2. Step 2: Convert to fraction form
   123,600/264,696 = 264,696/x
3. Step 3: Cross multiply
   123,600x = 264,696 × 264,696
4. Step 4: Simplify right side
   123,600x = 70,063,972,416
5. Step 5: Solve for x
   x = 70,063,972,416/123,600
6. Step 6: Final answer
   x = 566,860.62