Finding the Third Proportional to 206,112 and 477,184

Step by Step Solution

1. Step 1: Write the proportion equation
   206,112 : 477,184 = 477,184 : x
2. Step 2: Convert to fraction form
   206,112/477,184 = 477,184/x
3. Step 3: Cross multiply
   206,112x = 477,184 × 477,184
4. Step 4: Simplify right side
   206,112x = 227,704,569,856
5. Step 5: Solve for x
   x = 227,704,569,856/206,112
6. Step 6: Final answer
   x = 1,104,761.34