Finding the Third Proportional to 82,701 and 131,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,701 : 131,434.50 = 131,434.50 : x
2. Step 2: Convert to fraction form
   82,701/131,434.50 = 131,434.50/x
3. Step 3: Cross multiply
   82,701x = 131,434.50 × 131,434.50
4. Step 4: Simplify right side
   82,701x = 17,275,027,790.25
5. Step 5: Solve for x
   x = 17,275,027,790.25/82,701
6. Step 6: Final answer
   x = 208,885.36