Finding the Third Proportional to 107,658 and 233,460

Step by Step Solution

1. Step 1: Write the proportion equation
   107,658 : 233,460 = 233,460 : x
2. Step 2: Convert to fraction form
   107,658/233,460 = 233,460/x
3. Step 3: Cross multiply
   107,658x = 233,460 × 233,460
4. Step 4: Simplify right side
   107,658x = 54,503,571,600
5. Step 5: Solve for x
   x = 54,503,571,600/107,658
6. Step 6: Final answer
   x = 506,265.88