Finding the Third Proportional to 105,952 and 216,764

Step by Step Solution

1. Step 1: Write the proportion equation
   105,952 : 216,764 = 216,764 : x
2. Step 2: Convert to fraction form
   105,952/216,764 = 216,764/x
3. Step 3: Cross multiply
   105,952x = 216,764 × 216,764
4. Step 4: Simplify right side
   105,952x = 46,986,631,696
5. Step 5: Solve for x
   x = 46,986,631,696/105,952
6. Step 6: Final answer
   x = 443,470.93