Finding the Third Proportional to 105,618 and 216,156

Step by Step Solution

1. Step 1: Write the proportion equation
   105,618 : 216,156 = 216,156 : x
2. Step 2: Convert to fraction form
   105,618/216,156 = 216,156/x
3. Step 3: Cross multiply
   105,618x = 216,156 × 216,156
4. Step 4: Simplify right side
   105,618x = 46,723,416,336
5. Step 5: Solve for x
   x = 46,723,416,336/105,618
6. Step 6: Final answer
   x = 442,381.19