Finding the Third Proportional to 139,704 and 285,864

Step by Step Solution

1. Step 1: Write the proportion equation
   139,704 : 285,864 = 285,864 : x
2. Step 2: Convert to fraction form
   139,704/285,864 = 285,864/x
3. Step 3: Cross multiply
   139,704x = 285,864 × 285,864
4. Step 4: Simplify right side
   139,704x = 81,718,226,496
5. Step 5: Solve for x
   x = 81,718,226,496/139,704
6. Step 6: Final answer
   x = 584,938.34