Finding the Third Proportional to 101,538 and 223,320

Step by Step Solution

1. Step 1: Write the proportion equation
   101,538 : 223,320 = 223,320 : x
2. Step 2: Convert to fraction form
   101,538/223,320 = 223,320/x
3. Step 3: Cross multiply
   101,538x = 223,320 × 223,320
4. Step 4: Simplify right side
   101,538x = 49,871,822,400
5. Step 5: Solve for x
   x = 49,871,822,400/101,538
6. Step 6: Final answer
   x = 491,164.12