Finding the Third Proportional to 208,740 and 456,864

Step by Step Solution

1. Step 1: Write the proportion equation
   208,740 : 456,864 = 456,864 : x
2. Step 2: Convert to fraction form
   208,740/456,864 = 456,864/x
3. Step 3: Cross multiply
   208,740x = 456,864 × 456,864
4. Step 4: Simplify right side
   208,740x = 208,724,714,496
5. Step 5: Solve for x
   x = 208,724,714,496/208,740
6. Step 6: Final answer
   x = 999,926.77