Finding the Third Proportional to 107,848 and 231,310

Step by Step Solution

1. Step 1: Write the proportion equation
   107,848 : 231,310 = 231,310 : x
2. Step 2: Convert to fraction form
   107,848/231,310 = 231,310/x
3. Step 3: Cross multiply
   107,848x = 231,310 × 231,310
4. Step 4: Simplify right side
   107,848x = 53,504,316,100
5. Step 5: Solve for x
   x = 53,504,316,100/107,848
6. Step 6: Final answer
   x = 496,108.56