Finding the Third Proportional to 82,086 and 123,595.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,086 : 123,595.50 = 123,595.50 : x
2. Step 2: Convert to fraction form
   82,086/123,595.50 = 123,595.50/x
3. Step 3: Cross multiply
   82,086x = 123,595.50 × 123,595.50
4. Step 4: Simplify right side
   82,086x = 15,275,847,620.25
5. Step 5: Solve for x
   x = 15,275,847,620.25/82,086
6. Step 6: Final answer
   x = 186,095.65