Finding the Third Proportional to 279,744 and 443,200

Step by Step Solution

1. Step 1: Write the proportion equation
   279,744 : 443,200 = 443,200 : x
2. Step 2: Convert to fraction form
   279,744/443,200 = 443,200/x
3. Step 3: Cross multiply
   279,744x = 443,200 × 443,200
4. Step 4: Simplify right side
   279,744x = 196,426,240,000
5. Step 5: Solve for x
   x = 196,426,240,000/279,744
6. Step 6: Final answer
   x = 702,164.26