Finding the Third Proportional to 433,404 and 646,380

Step by Step Solution

1. Step 1: Write the proportion equation
   433,404 : 646,380 = 646,380 : x
2. Step 2: Convert to fraction form
   433,404/646,380 = 646,380/x
3. Step 3: Cross multiply
   433,404x = 646,380 × 646,380
4. Step 4: Simplify right side
   433,404x = 417,807,104,400
5. Step 5: Solve for x
   x = 417,807,104,400/433,404
6. Step 6: Final answer
   x = 964,013.03