Finding the Third Proportional to 211,536 and 443,824

Step by Step Solution

1. Step 1: Write the proportion equation
   211,536 : 443,824 = 443,824 : x
2. Step 2: Convert to fraction form
   211,536/443,824 = 443,824/x
3. Step 3: Cross multiply
   211,536x = 443,824 × 443,824
4. Step 4: Simplify right side
   211,536x = 196,979,742,976
5. Step 5: Solve for x
   x = 196,979,742,976/211,536
6. Step 6: Final answer
   x = 931,187.80