Finding the Third Proportional to 105,658 and 234,644

Step by Step Solution

1. Step 1: Write the proportion equation
   105,658 : 234,644 = 234,644 : x
2. Step 2: Convert to fraction form
   105,658/234,644 = 234,644/x
3. Step 3: Cross multiply
   105,658x = 234,644 × 234,644
4. Step 4: Simplify right side
   105,658x = 55,057,806,736
5. Step 5: Solve for x
   x = 55,057,806,736/105,658
6. Step 6: Final answer
   x = 521,094.54