Finding the Third Proportional to 105,994 and 224,258

Step by Step Solution

1. Step 1: Write the proportion equation
   105,994 : 224,258 = 224,258 : x
2. Step 2: Convert to fraction form
   105,994/224,258 = 224,258/x
3. Step 3: Cross multiply
   105,994x = 224,258 × 224,258
4. Step 4: Simplify right side
   105,994x = 50,291,650,564
5. Step 5: Solve for x
   x = 50,291,650,564/105,994
6. Step 6: Final answer
   x = 474,476.39