Finding the Third Proportional to 105,488 and 214,892

Step by Step Solution

1. Step 1: Write the proportion equation
   105,488 : 214,892 = 214,892 : x
2. Step 2: Convert to fraction form
   105,488/214,892 = 214,892/x
3. Step 3: Cross multiply
   105,488x = 214,892 × 214,892
4. Step 4: Simplify right side
   105,488x = 46,178,571,664
5. Step 5: Solve for x
   x = 46,178,571,664/105,488
6. Step 6: Final answer
   x = 437,761.37