Finding the Third Proportional to 213,018 and 334,155

Step by Step Solution

1. Step 1: Write the proportion equation
   213,018 : 334,155 = 334,155 : x
2. Step 2: Convert to fraction form
   213,018/334,155 = 334,155/x
3. Step 3: Cross multiply
   213,018x = 334,155 × 334,155
4. Step 4: Simplify right side
   213,018x = 111,659,564,025
5. Step 5: Solve for x
   x = 111,659,564,025/213,018
6. Step 6: Final answer
   x = 524,179.01