Finding the Third Proportional to 212,112 and 462,096

Step by Step Solution

1. Step 1: Write the proportion equation
   212,112 : 462,096 = 462,096 : x
2. Step 2: Convert to fraction form
   212,112/462,096 = 462,096/x
3. Step 3: Cross multiply
   212,112x = 462,096 × 462,096
4. Step 4: Simplify right side
   212,112x = 213,532,713,216
5. Step 5: Solve for x
   x = 213,532,713,216/212,112
6. Step 6: Final answer
   x = 1,006,697.94