Finding the Third Proportional to 50,164 and 104,480

Step by Step Solution

1. Step 1: Write the proportion equation
   50,164 : 104,480 = 104,480 : x
2. Step 2: Convert to fraction form
   50,164/104,480 = 104,480/x
3. Step 3: Cross multiply
   50,164x = 104,480 × 104,480
4. Step 4: Simplify right side
   50,164x = 10,916,070,400
5. Step 5: Solve for x
   x = 10,916,070,400/50,164
6. Step 6: Final answer
   x = 217,607.65