Finding the Third Proportional to 214,296 and 466,688

Step by Step Solution

1. Step 1: Write the proportion equation
   214,296 : 466,688 = 466,688 : x
2. Step 2: Convert to fraction form
   214,296/466,688 = 466,688/x
3. Step 3: Cross multiply
   214,296x = 466,688 × 466,688
4. Step 4: Simplify right side
   214,296x = 217,797,689,344
5. Step 5: Solve for x
   x = 217,797,689,344/214,296
6. Step 6: Final answer
   x = 1,016,340.43