Finding the Third Proportional to 179,878 and 259,870

Step by Step Solution

1. Step 1: Write the proportion equation
   179,878 : 259,870 = 259,870 : x
2. Step 2: Convert to fraction form
   179,878/259,870 = 259,870/x
3. Step 3: Cross multiply
   179,878x = 259,870 × 259,870
4. Step 4: Simplify right side
   179,878x = 67,532,416,900
5. Step 5: Solve for x
   x = 67,532,416,900/179,878
6. Step 6: Final answer
   x = 375,434.56