Finding the Third Proportional to 119,616 and 259,050

Step by Step Solution

1. Step 1: Write the proportion equation
   119,616 : 259,050 = 259,050 : x
2. Step 2: Convert to fraction form
   119,616/259,050 = 259,050/x
3. Step 3: Cross multiply
   119,616x = 259,050 × 259,050
4. Step 4: Simplify right side
   119,616x = 67,106,902,500
5. Step 5: Solve for x
   x = 67,106,902,500/119,616
6. Step 6: Final answer
   x = 561,019.45