Finding the Third Proportional to 82,069 and 189,086

Step by Step Solution

1. Step 1: Write the proportion equation
   82,069 : 189,086 = 189,086 : x
2. Step 2: Convert to fraction form
   82,069/189,086 = 189,086/x
3. Step 3: Cross multiply
   82,069x = 189,086 × 189,086
4. Step 4: Simplify right side
   82,069x = 35,753,515,396
5. Step 5: Solve for x
   x = 35,753,515,396/82,069
6. Step 6: Final answer
   x = 435,651.90