Finding the Third Proportional to 205,200 and 448,032

Step by Step Solution

1. Step 1: Write the proportion equation
   205,200 : 448,032 = 448,032 : x
2. Step 2: Convert to fraction form
   205,200/448,032 = 448,032/x
3. Step 3: Cross multiply
   205,200x = 448,032 × 448,032
4. Step 4: Simplify right side
   205,200x = 200,732,673,024
5. Step 5: Solve for x
   x = 200,732,673,024/205,200
6. Step 6: Final answer
   x = 978,229.40