Finding the Third Proportional to 304,740 and 456,822

Step by Step Solution

1. Step 1: Write the proportion equation
   304,740 : 456,822 = 456,822 : x
2. Step 2: Convert to fraction form
   304,740/456,822 = 456,822/x
3. Step 3: Cross multiply
   304,740x = 456,822 × 456,822
4. Step 4: Simplify right side
   304,740x = 208,686,339,684
5. Step 5: Solve for x
   x = 208,686,339,684/304,740
6. Step 6: Final answer
   x = 684,801.27