Finding the Third Proportional to 446,196 and 654,412

Step by Step Solution

1. Step 1: Write the proportion equation
   446,196 : 654,412 = 654,412 : x
2. Step 2: Convert to fraction form
   446,196/654,412 = 654,412/x
3. Step 3: Cross multiply
   446,196x = 654,412 × 654,412
4. Step 4: Simplify right side
   446,196x = 428,255,065,744
5. Step 5: Solve for x
   x = 428,255,065,744/446,196
6. Step 6: Final answer
   x = 959,791.36