Finding the Third Proportional to 108,206 and 233,056

Step by Step Solution

1. Step 1: Write the proportion equation
   108,206 : 233,056 = 233,056 : x
2. Step 2: Convert to fraction form
   108,206/233,056 = 233,056/x
3. Step 3: Cross multiply
   108,206x = 233,056 × 233,056
4. Step 4: Simplify right side
   108,206x = 54,315,099,136
5. Step 5: Solve for x
   x = 54,315,099,136/108,206
6. Step 6: Final answer
   x = 501,960.14