Finding the Third Proportional to 105,656 and 234,640

Step by Step Solution

1. Step 1: Write the proportion equation
   105,656 : 234,640 = 234,640 : x
2. Step 2: Convert to fraction form
   105,656/234,640 = 234,640/x
3. Step 3: Cross multiply
   105,656x = 234,640 × 234,640
4. Step 4: Simplify right side
   105,656x = 55,055,929,600
5. Step 5: Solve for x
   x = 55,055,929,600/105,656
6. Step 6: Final answer
   x = 521,086.64