Finding the Third Proportional to 85,797 and 189,045

Step by Step Solution

1. Step 1: Write the proportion equation
   85,797 : 189,045 = 189,045 : x
2. Step 2: Convert to fraction form
   85,797/189,045 = 189,045/x
3. Step 3: Cross multiply
   85,797x = 189,045 × 189,045
4. Step 4: Simplify right side
   85,797x = 35,738,012,025
5. Step 5: Solve for x
   x = 35,738,012,025/85,797
6. Step 6: Final answer
   x = 416,541.51