Finding the Third Proportional to 101,858 and 224,020

Step by Step Solution

1. Step 1: Write the proportion equation
   101,858 : 224,020 = 224,020 : x
2. Step 2: Convert to fraction form
   101,858/224,020 = 224,020/x
3. Step 3: Cross multiply
   101,858x = 224,020 × 224,020
4. Step 4: Simplify right side
   101,858x = 50,184,960,400
5. Step 5: Solve for x
   x = 50,184,960,400/101,858
6. Step 6: Final answer
   x = 492,695.32