Finding the Third Proportional to 85,800 and 189,064

Step by Step Solution

1. Step 1: Write the proportion equation
   85,800 : 189,064 = 189,064 : x
2. Step 2: Convert to fraction form
   85,800/189,064 = 189,064/x
3. Step 3: Cross multiply
   85,800x = 189,064 × 189,064
4. Step 4: Simplify right side
   85,800x = 35,745,196,096
5. Step 5: Solve for x
   x = 35,745,196,096/85,800
6. Step 6: Final answer
   x = 416,610.68