Finding the Third Proportional to 294,592 and 646,532

Step by Step Solution

1. Step 1: Write the proportion equation
   294,592 : 646,532 = 646,532 : x
2. Step 2: Convert to fraction form
   294,592/646,532 = 646,532/x
3. Step 3: Cross multiply
   294,592x = 646,532 × 646,532
4. Step 4: Simplify right side
   294,592x = 418,003,627,024
5. Step 5: Solve for x
   x = 418,003,627,024/294,592
6. Step 6: Final answer
   x = 1,418,923.89