Finding the Third Proportional to 105,958 and 224,310

Step by Step Solution

1. Step 1: Write the proportion equation
   105,958 : 224,310 = 224,310 : x
2. Step 2: Convert to fraction form
   105,958/224,310 = 224,310/x
3. Step 3: Cross multiply
   105,958x = 224,310 × 224,310
4. Step 4: Simplify right side
   105,958x = 50,314,976,100
5. Step 5: Solve for x
   x = 50,314,976,100/105,958
6. Step 6: Final answer
   x = 474,857.74