Finding the Third Proportional to 105,702 and 218,392

Step by Step Solution

1. Step 1: Write the proportion equation
   105,702 : 218,392 = 218,392 : x
2. Step 2: Convert to fraction form
   105,702/218,392 = 218,392/x
3. Step 3: Cross multiply
   105,702x = 218,392 × 218,392
4. Step 4: Simplify right side
   105,702x = 47,695,065,664
5. Step 5: Solve for x
   x = 47,695,065,664/105,702
6. Step 6: Final answer
   x = 451,221.98