Finding the Third Proportional to 91,678 and 189,064

Step by Step Solution

1. Step 1: Write the proportion equation
   91,678 : 189,064 = 189,064 : x
2. Step 2: Convert to fraction form
   91,678/189,064 = 189,064/x
3. Step 3: Cross multiply
   91,678x = 189,064 × 189,064
4. Step 4: Simplify right side
   91,678x = 35,745,196,096
5. Step 5: Solve for x
   x = 35,745,196,096/91,678
6. Step 6: Final answer
   x = 389,899.39