Finding the Third Proportional to 105,111 and 217,674

Step by Step Solution

1. Step 1: Write the proportion equation
   105,111 : 217,674 = 217,674 : x
2. Step 2: Convert to fraction form
   105,111/217,674 = 217,674/x
3. Step 3: Cross multiply
   105,111x = 217,674 × 217,674
4. Step 4: Simplify right side
   105,111x = 47,381,970,276
5. Step 5: Solve for x
   x = 47,381,970,276/105,111
6. Step 6: Final answer
   x = 450,780.32