Finding the Third Proportional to 107,656 and 233,456

Step by Step Solution

1. Step 1: Write the proportion equation
   107,656 : 233,456 = 233,456 : x
2. Step 2: Convert to fraction form
   107,656/233,456 = 233,456/x
3. Step 3: Cross multiply
   107,656x = 233,456 × 233,456
4. Step 4: Simplify right side
   107,656x = 54,501,703,936
5. Step 5: Solve for x
   x = 54,501,703,936/107,656
6. Step 6: Final answer
   x = 506,257.93