Finding the Third Proportional to 85,817 and 189,086

Step by Step Solution

1. Step 1: Write the proportion equation
   85,817 : 189,086 = 189,086 : x
2. Step 2: Convert to fraction form
   85,817/189,086 = 189,086/x
3. Step 3: Cross multiply
   85,817x = 189,086 × 189,086
4. Step 4: Simplify right side
   85,817x = 35,753,515,396
5. Step 5: Solve for x
   x = 35,753,515,396/85,817
6. Step 6: Final answer
   x = 416,625.09