Finding the Third Proportional to 101,892 and 224,520

Step by Step Solution

1. Step 1: Write the proportion equation
   101,892 : 224,520 = 224,520 : x
2. Step 2: Convert to fraction form
   101,892/224,520 = 224,520/x
3. Step 3: Cross multiply
   101,892x = 224,520 × 224,520
4. Step 4: Simplify right side
   101,892x = 50,409,230,400
5. Step 5: Solve for x
   x = 50,409,230,400/101,892
6. Step 6: Final answer
   x = 494,731.98