Finding the Third Proportional to 224,678 and 491,596

Step by Step Solution

1. Step 1: Write the proportion equation
   224,678 : 491,596 = 491,596 : x
2. Step 2: Convert to fraction form
   224,678/491,596 = 491,596/x
3. Step 3: Cross multiply
   224,678x = 491,596 × 491,596
4. Step 4: Simplify right side
   224,678x = 241,666,627,216
5. Step 5: Solve for x
   x = 241,666,627,216/224,678
6. Step 6: Final answer
   x = 1,075,613.22