Finding the Third Proportional to 258,056 and 410,892

Step by Step Solution

1. Step 1: Write the proportion equation
   258,056 : 410,892 = 410,892 : x
2. Step 2: Convert to fraction form
   258,056/410,892 = 410,892/x
3. Step 3: Cross multiply
   258,056x = 410,892 × 410,892
4. Step 4: Simplify right side
   258,056x = 168,832,235,664
5. Step 5: Solve for x
   x = 168,832,235,664/258,056
6. Step 6: Final answer
   x = 654,246.50