Finding the Third Proportional to 91,584 and 193,144

Step by Step Solution

1. Step 1: Write the proportion equation
   91,584 : 193,144 = 193,144 : x
2. Step 2: Convert to fraction form
   91,584/193,144 = 193,144/x
3. Step 3: Cross multiply
   91,584x = 193,144 × 193,144
4. Step 4: Simplify right side
   91,584x = 37,304,604,736
5. Step 5: Solve for x
   x = 37,304,604,736/91,584
6. Step 6: Final answer
   x = 407,326.66