Finding the Third Proportional to 212,908.50 and 463,617

Step by Step Solution

1. Step 1: Write the proportion equation
   212,908.50 : 463,617 = 463,617 : x
2. Step 2: Convert to fraction form
   212,908.50/463,617 = 463,617/x
3. Step 3: Cross multiply
   212,908.50x = 463,617 × 463,617
4. Step 4: Simplify right side
   212,908.50x = 214,940,722,689
5. Step 5: Solve for x
   x = 214,940,722,689/212,908.50
6. Step 6: Final answer
   x = 1,009,545.05