Finding the Third Proportional to 52,228 and 123,268

Step by Step Solution

1. Step 1: Write the proportion equation
   52,228 : 123,268 = 123,268 : x
2. Step 2: Convert to fraction form
   52,228/123,268 = 123,268/x
3. Step 3: Cross multiply
   52,228x = 123,268 × 123,268
4. Step 4: Simplify right side
   52,228x = 15,194,999,824
5. Step 5: Solve for x
   x = 15,194,999,824/52,228
6. Step 6: Final answer
   x = 290,935.89