Finding the Third Proportional to 214,294 and 466,684

Step by Step Solution

1. Step 1: Write the proportion equation
   214,294 : 466,684 = 466,684 : x
2. Step 2: Convert to fraction form
   214,294/466,684 = 466,684/x
3. Step 3: Cross multiply
   214,294x = 466,684 × 466,684
4. Step 4: Simplify right side
   214,294x = 217,793,955,856
5. Step 5: Solve for x
   x = 217,793,955,856/214,294
6. Step 6: Final answer
   x = 1,016,332.50