Finding the Third Proportional to 255,924 and 597,870

Step by Step Solution

1. Step 1: Write the proportion equation
   255,924 : 597,870 = 597,870 : x
2. Step 2: Convert to fraction form
   255,924/597,870 = 597,870/x
3. Step 3: Cross multiply
   255,924x = 597,870 × 597,870
4. Step 4: Simplify right side
   255,924x = 357,448,536,900
5. Step 5: Solve for x
   x = 357,448,536,900/255,924
6. Step 6: Final answer
   x = 1,396,697.99