Finding the Third Proportional to 214,866 and 467,964

Step by Step Solution

1. Step 1: Write the proportion equation
   214,866 : 467,964 = 467,964 : x
2. Step 2: Convert to fraction form
   214,866/467,964 = 467,964/x
3. Step 3: Cross multiply
   214,866x = 467,964 × 467,964
4. Step 4: Simplify right side
   214,866x = 218,990,305,296
5. Step 5: Solve for x
   x = 218,990,305,296/214,866
6. Step 6: Final answer
   x = 1,019,194.78