Finding the Third Proportional to 107,658 and 230,040

Step by Step Solution

1. Step 1: Write the proportion equation
   107,658 : 230,040 = 230,040 : x
2. Step 2: Convert to fraction form
   107,658/230,040 = 230,040/x
3. Step 3: Cross multiply
   107,658x = 230,040 × 230,040
4. Step 4: Simplify right side
   107,658x = 52,918,401,600
5. Step 5: Solve for x
   x = 52,918,401,600/107,658
6. Step 6: Final answer
   x = 491,541.75