Finding the Third Proportional to 259,894 and 388,784

Step by Step Solution

1. Step 1: Write the proportion equation
   259,894 : 388,784 = 388,784 : x
2. Step 2: Convert to fraction form
   259,894/388,784 = 388,784/x
3. Step 3: Cross multiply
   259,894x = 388,784 × 388,784
4. Step 4: Simplify right side
   259,894x = 151,152,998,656
5. Step 5: Solve for x
   x = 151,152,998,656/259,894
6. Step 6: Final answer
   x = 581,594.80