Finding the Third Proportional to 82,157 and 132,271

Step by Step Solution

1. Step 1: Write the proportion equation
   82,157 : 132,271 = 132,271 : x
2. Step 2: Convert to fraction form
   82,157/132,271 = 132,271/x
3. Step 3: Cross multiply
   82,157x = 132,271 × 132,271
4. Step 4: Simplify right side
   82,157x = 17,495,617,441
5. Step 5: Solve for x
   x = 17,495,617,441/82,157
6. Step 6: Final answer
   x = 212,953.46