Finding the Third Proportional to 119,621 and 259,060

Step by Step Solution

1. Step 1: Write the proportion equation
   119,621 : 259,060 = 259,060 : x
2. Step 2: Convert to fraction form
   119,621/259,060 = 259,060/x
3. Step 3: Cross multiply
   119,621x = 259,060 × 259,060
4. Step 4: Simplify right side
   119,621x = 67,112,083,600
5. Step 5: Solve for x
   x = 67,112,083,600/119,621
6. Step 6: Final answer
   x = 561,039.31