Finding the Third Proportional to 275,196 and 562,056

Step by Step Solution

1. Step 1: Write the proportion equation
   275,196 : 562,056 = 562,056 : x
2. Step 2: Convert to fraction form
   275,196/562,056 = 562,056/x
3. Step 3: Cross multiply
   275,196x = 562,056 × 562,056
4. Step 4: Simplify right side
   275,196x = 315,906,947,136
5. Step 5: Solve for x
   x = 315,906,947,136/275,196
6. Step 6: Final answer
   x = 1,147,934.37