Finding the Third Proportional to 52,212 and 123,228

Step by Step Solution

1. Step 1: Write the proportion equation
   52,212 : 123,228 = 123,228 : x
2. Step 2: Convert to fraction form
   52,212/123,228 = 123,228/x
3. Step 3: Cross multiply
   52,212x = 123,228 × 123,228
4. Step 4: Simplify right side
   52,212x = 15,185,139,984
5. Step 5: Solve for x
   x = 15,185,139,984/52,212
6. Step 6: Final answer
   x = 290,836.21