Finding the Third Proportional to 82,383 and 132,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,383 : 132,646.50 = 132,646.50 : x
2. Step 2: Convert to fraction form
   82,383/132,646.50 = 132,646.50/x
3. Step 3: Cross multiply
   82,383x = 132,646.50 × 132,646.50
4. Step 4: Simplify right side
   82,383x = 17,595,093,962.25
5. Step 5: Solve for x
   x = 17,595,093,962.25/82,383
6. Step 6: Final answer
   x = 213,576.76