Finding the Third Proportional to 107,430 and 231,942

Step by Step Solution

1. Step 1: Write the proportion equation
   107,430 : 231,942 = 231,942 : x
2. Step 2: Convert to fraction form
   107,430/231,942 = 231,942/x
3. Step 3: Cross multiply
   107,430x = 231,942 × 231,942
4. Step 4: Simplify right side
   107,430x = 53,797,091,364
5. Step 5: Solve for x
   x = 53,797,091,364/107,430
6. Step 6: Final answer
   x = 500,764.14