Finding the Third Proportional to 121,196 and 256,792

Step by Step Solution

1. Step 1: Write the proportion equation
   121,196 : 256,792 = 256,792 : x
2. Step 2: Convert to fraction form
   121,196/256,792 = 256,792/x
3. Step 3: Cross multiply
   121,196x = 256,792 × 256,792
4. Step 4: Simplify right side
   121,196x = 65,942,131,264
5. Step 5: Solve for x
   x = 65,942,131,264/121,196
6. Step 6: Final answer
   x = 544,094.95