Finding the Third Proportional to 212,510.50 and 462,405

Step by Step Solution

1. Step 1: Write the proportion equation
   212,510.50 : 462,405 = 462,405 : x
2. Step 2: Convert to fraction form
   212,510.50/462,405 = 462,405/x
3. Step 3: Cross multiply
   212,510.50x = 462,405 × 462,405
4. Step 4: Simplify right side
   212,510.50x = 213,818,384,025
5. Step 5: Solve for x
   x = 213,818,384,025/212,510.50
6. Step 6: Final answer
   x = 1,006,154.44