Finding the Third Proportional to 197,922 and 466,752

Step by Step Solution

1. Step 1: Write the proportion equation
   197,922 : 466,752 = 466,752 : x
2. Step 2: Convert to fraction form
   197,922/466,752 = 466,752/x
3. Step 3: Cross multiply
   197,922x = 466,752 × 466,752
4. Step 4: Simplify right side
   197,922x = 217,857,429,504
5. Step 5: Solve for x
   x = 217,857,429,504/197,922
6. Step 6: Final answer
   x = 1,100,723.67