Finding the Third Proportional to 107,308 and 231,224

Step by Step Solution

1. Step 1: Write the proportion equation
   107,308 : 231,224 = 231,224 : x
2. Step 2: Convert to fraction form
   107,308/231,224 = 231,224/x
3. Step 3: Cross multiply
   107,308x = 231,224 × 231,224
4. Step 4: Simplify right side
   107,308x = 53,464,538,176
5. Step 5: Solve for x
   x = 53,464,538,176/107,308
6. Step 6: Final answer
   x = 498,234.41