Finding the Third Proportional to 108,920 and 159,056

Step by Step Solution

1. Step 1: Write the proportion equation
   108,920 : 159,056 = 159,056 : x
2. Step 2: Convert to fraction form
   108,920/159,056 = 159,056/x
3. Step 3: Cross multiply
   108,920x = 159,056 × 159,056
4. Step 4: Simplify right side
   108,920x = 25,298,811,136
5. Step 5: Solve for x
   x = 25,298,811,136/108,920
6. Step 6: Final answer
   x = 232,269.66