Finding the Third Proportional to 101,436 and 223,608

Step by Step Solution

1. Step 1: Write the proportion equation
   101,436 : 223,608 = 223,608 : x
2. Step 2: Convert to fraction form
   101,436/223,608 = 223,608/x
3. Step 3: Cross multiply
   101,436x = 223,608 × 223,608
4. Step 4: Simplify right side
   101,436x = 50,000,537,664
5. Step 5: Solve for x
   x = 50,000,537,664/101,436
6. Step 6: Final answer
   x = 492,926.95