Finding the Third Proportional to 85,809 and 189,069

Step by Step Solution

1. Step 1: Write the proportion equation
   85,809 : 189,069 = 189,069 : x
2. Step 2: Convert to fraction form
   85,809/189,069 = 189,069/x
3. Step 3: Cross multiply
   85,809x = 189,069 × 189,069
4. Step 4: Simplify right side
   85,809x = 35,747,086,761
5. Step 5: Solve for x
   x = 35,747,086,761/85,809
6. Step 6: Final answer
   x = 416,589.01