Finding the Third Proportional to 88,144 and 132,410

Step by Step Solution

1. Step 1: Write the proportion equation
   88,144 : 132,410 = 132,410 : x
2. Step 2: Convert to fraction form
   88,144/132,410 = 132,410/x
3. Step 3: Cross multiply
   88,144x = 132,410 × 132,410
4. Step 4: Simplify right side
   88,144x = 17,532,408,100
5. Step 5: Solve for x
   x = 17,532,408,100/88,144
6. Step 6: Final answer
   x = 198,906.43