Finding the Third Proportional to 91,584 and 142,720

Step by Step Solution

1. Step 1: Write the proportion equation
   91,584 : 142,720 = 142,720 : x
2. Step 2: Convert to fraction form
   91,584/142,720 = 142,720/x
3. Step 3: Cross multiply
   91,584x = 142,720 × 142,720
4. Step 4: Simplify right side
   91,584x = 20,368,998,400
5. Step 5: Solve for x
   x = 20,368,998,400/91,584
6. Step 6: Final answer
   x = 222,407.83