Finding the Third Proportional to 65,196 and 107,874

Step by Step Solution

1. Step 1: Write the proportion equation
   65,196 : 107,874 = 107,874 : x
2. Step 2: Convert to fraction form
   65,196/107,874 = 107,874/x
3. Step 3: Cross multiply
   65,196x = 107,874 × 107,874
4. Step 4: Simplify right side
   65,196x = 11,636,799,876
5. Step 5: Solve for x
   x = 11,636,799,876/65,196
6. Step 6: Final answer
   x = 178,489.48