Finding the Third Proportional to 123,018 and 260,724

Step by Step Solution

1. Step 1: Write the proportion equation
   123,018 : 260,724 = 260,724 : x
2. Step 2: Convert to fraction form
   123,018/260,724 = 260,724/x
3. Step 3: Cross multiply
   123,018x = 260,724 × 260,724
4. Step 4: Simplify right side
   123,018x = 67,977,004,176
5. Step 5: Solve for x
   x = 67,977,004,176/123,018
6. Step 6: Final answer
   x = 552,577.71