Finding the Third Proportional to 259,704 and 391,270.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,704 : 391,270.50 = 391,270.50 : x
2. Step 2: Convert to fraction form
   259,704/391,270.50 = 391,270.50/x
3. Step 3: Cross multiply
   259,704x = 391,270.50 × 391,270.50
4. Step 4: Simplify right side
   259,704x = 153,092,604,170.25
5. Step 5: Solve for x
   x = 153,092,604,170.25/259,704
6. Step 6: Final answer
   x = 589,488.82