Finding the Third Proportional to 283,032 and 428,199.75

Step by Step Solution

1. Step 1: Write the proportion equation
   283,032 : 428,199.75 = 428,199.75 : x
2. Step 2: Convert to fraction form
   283,032/428,199.75 = 428,199.75/x
3. Step 3: Cross multiply
   283,032x = 428,199.75 × 428,199.75
4. Step 4: Simplify right side
   283,032x = 183,355,025,900.06
5. Step 5: Solve for x
   x = 183,355,025,900.06/283,032
6. Step 6: Final answer
   x = 647,824.37