Finding the Third Proportional to 105,650 and 234,923

Step by Step Solution

1. Step 1: Write the proportion equation
   105,650 : 234,923 = 234,923 : x
2. Step 2: Convert to fraction form
   105,650/234,923 = 234,923/x
3. Step 3: Cross multiply
   105,650x = 234,923 × 234,923
4. Step 4: Simplify right side
   105,650x = 55,188,815,929
5. Step 5: Solve for x
   x = 55,188,815,929/105,650
6. Step 6: Final answer
   x = 522,374.03