Finding the Third Proportional to 179,804 and 259,002

Step by Step Solution

1. Step 1: Write the proportion equation
   179,804 : 259,002 = 259,002 : x
2. Step 2: Convert to fraction form
   179,804/259,002 = 259,002/x
3. Step 3: Cross multiply
   179,804x = 259,002 × 259,002
4. Step 4: Simplify right side
   179,804x = 67,082,036,004
5. Step 5: Solve for x
   x = 67,082,036,004/179,804
6. Step 6: Final answer
   x = 373,084.23