Finding the Third Proportional to 119,550 and 258,892

Step by Step Solution

1. Step 1: Write the proportion equation
   119,550 : 258,892 = 258,892 : x
2. Step 2: Convert to fraction form
   119,550/258,892 = 258,892/x
3. Step 3: Cross multiply
   119,550x = 258,892 × 258,892
4. Step 4: Simplify right side
   119,550x = 67,025,067,664
5. Step 5: Solve for x
   x = 67,025,067,664/119,550
6. Step 6: Final answer
   x = 560,644.65