Finding the Third Proportional to 211,596 and 461,176

Step by Step Solution

1. Step 1: Write the proportion equation
   211,596 : 461,176 = 461,176 : x
2. Step 2: Convert to fraction form
   211,596/461,176 = 461,176/x
3. Step 3: Cross multiply
   211,596x = 461,176 × 461,176
4. Step 4: Simplify right side
   211,596x = 212,683,302,976
5. Step 5: Solve for x
   x = 212,683,302,976/211,596
6. Step 6: Final answer
   x = 1,005,138.58