Finding the Third Proportional to 199,184 and 466,612

Step by Step Solution

1. Step 1: Write the proportion equation
   199,184 : 466,612 = 466,612 : x
2. Step 2: Convert to fraction form
   199,184/466,612 = 466,612/x
3. Step 3: Cross multiply
   199,184x = 466,612 × 466,612
4. Step 4: Simplify right side
   199,184x = 217,726,758,544
5. Step 5: Solve for x
   x = 217,726,758,544/199,184
6. Step 6: Final answer
   x = 1,093,093.61