Finding the Third Proportional to 214,384 and 466,864

Step by Step Solution

1. Step 1: Write the proportion equation
   214,384 : 466,864 = 466,864 : x
2. Step 2: Convert to fraction form
   214,384/466,864 = 466,864/x
3. Step 3: Cross multiply
   214,384x = 466,864 × 466,864
4. Step 4: Simplify right side
   214,384x = 217,961,994,496
5. Step 5: Solve for x
   x = 217,961,994,496/214,384
6. Step 6: Final answer
   x = 1,016,689.65