Finding the Third Proportional to 105,484 and 214,885

Step by Step Solution

1. Step 1: Write the proportion equation
   105,484 : 214,885 = 214,885 : x
2. Step 2: Convert to fraction form
   105,484/214,885 = 214,885/x
3. Step 3: Cross multiply
   105,484x = 214,885 × 214,885
4. Step 4: Simplify right side
   105,484x = 46,175,563,225
5. Step 5: Solve for x
   x = 46,175,563,225/105,484
6. Step 6: Final answer
   x = 437,749.45