Finding the Third Proportional to 91,584 and 189,048

Step by Step Solution

1. Step 1: Write the proportion equation
   91,584 : 189,048 = 189,048 : x
2. Step 2: Convert to fraction form
   91,584/189,048 = 189,048/x
3. Step 3: Cross multiply
   91,584x = 189,048 × 189,048
4. Step 4: Simplify right side
   91,584x = 35,739,146,304
5. Step 5: Solve for x
   x = 35,739,146,304/91,584
6. Step 6: Final answer
   x = 390,233.52