Finding the Third Proportional to 105,347 and 231,302

Step by Step Solution

1. Step 1: Write the proportion equation
   105,347 : 231,302 = 231,302 : x
2. Step 2: Convert to fraction form
   105,347/231,302 = 231,302/x
3. Step 3: Cross multiply
   105,347x = 231,302 × 231,302
4. Step 4: Simplify right side
   105,347x = 53,500,615,204
5. Step 5: Solve for x
   x = 53,500,615,204/105,347
6. Step 6: Final answer
   x = 507,851.34