Finding the Third Proportional to 123,648 and 264,788

Step by Step Solution

1. Step 1: Write the proportion equation
   123,648 : 264,788 = 264,788 : x
2. Step 2: Convert to fraction form
   123,648/264,788 = 264,788/x
3. Step 3: Cross multiply
   123,648x = 264,788 × 264,788
4. Step 4: Simplify right side
   123,648x = 70,112,684,944
5. Step 5: Solve for x
   x = 70,112,684,944/123,648
6. Step 6: Final answer
   x = 567,034.52