Finding the Third Proportional to 46,638 and 109,926

Step by Step Solution

1. Step 1: Write the proportion equation
   46,638 : 109,926 = 109,926 : x
2. Step 2: Convert to fraction form
   46,638/109,926 = 109,926/x
3. Step 3: Cross multiply
   46,638x = 109,926 × 109,926
4. Step 4: Simplify right side
   46,638x = 12,083,725,476
5. Step 5: Solve for x
   x = 12,083,725,476/46,638
6. Step 6: Final answer
   x = 259,096.13