Finding the Third Proportional to 179,806 and 259,005

Step by Step Solution

1. Step 1: Write the proportion equation
   179,806 : 259,005 = 259,005 : x
2. Step 2: Convert to fraction form
   179,806/259,005 = 259,005/x
3. Step 3: Cross multiply
   179,806x = 259,005 × 259,005
4. Step 4: Simplify right side
   179,806x = 67,083,590,025
5. Step 5: Solve for x
   x = 67,083,590,025/179,806
6. Step 6: Final answer
   x = 373,088.72