Finding the Third Proportional to 113,234 and 231,383

Step by Step Solution

1. Step 1: Write the proportion equation
   113,234 : 231,383 = 231,383 : x
2. Step 2: Convert to fraction form
   113,234/231,383 = 231,383/x
3. Step 3: Cross multiply
   113,234x = 231,383 × 231,383
4. Step 4: Simplify right side
   113,234x = 53,538,092,689
5. Step 5: Solve for x
   x = 53,538,092,689/113,234
6. Step 6: Final answer
   x = 472,809.34