Finding the Third Proportional to 105,710 and 220,164

Step by Step Solution

1. Step 1: Write the proportion equation
   105,710 : 220,164 = 220,164 : x
2. Step 2: Convert to fraction form
   105,710/220,164 = 220,164/x
3. Step 3: Cross multiply
   105,710x = 220,164 × 220,164
4. Step 4: Simplify right side
   105,710x = 48,472,186,896
5. Step 5: Solve for x
   x = 48,472,186,896/105,710
6. Step 6: Final answer
   x = 458,539.28