Finding the Third Proportional to 105,722 and 220,191

Step by Step Solution

1. Step 1: Write the proportion equation
   105,722 : 220,191 = 220,191 : x
2. Step 2: Convert to fraction form
   105,722/220,191 = 220,191/x
3. Step 3: Cross multiply
   105,722x = 220,191 × 220,191
4. Step 4: Simplify right side
   105,722x = 48,484,076,481
5. Step 5: Solve for x
   x = 48,484,076,481/105,722
6. Step 6: Final answer
   x = 458,599.69