Finding the Third Proportional to 105,416.25 and 214,737.38

Step by Step Solution

1. Step 1: Write the proportion equation
   105,416.25 : 214,737.38 = 214,737.38 : x
2. Step 2: Convert to fraction form
   105,416.25/214,737.38 = 214,737.38/x
3. Step 3: Cross multiply
   105,416.25x = 214,737.38 × 214,737.38
4. Step 4: Simplify right side
   105,416.25x = 46,112,140,221.89
5. Step 5: Solve for x
   x = 46,112,140,221.89/105,416.25
6. Step 6: Final answer
   x = 437,429.15