Finding the Third Proportional to 105,704 and 220,152

Step by Step Solution

1. Step 1: Write the proportion equation
   105,704 : 220,152 = 220,152 : x
2. Step 2: Convert to fraction form
   105,704/220,152 = 220,152/x
3. Step 3: Cross multiply
   105,704x = 220,152 × 220,152
4. Step 4: Simplify right side
   105,704x = 48,466,903,104
5. Step 5: Solve for x
   x = 48,466,903,104/105,704
6. Step 6: Final answer
   x = 458,515.32