Finding the Third Proportional to 67,584 and 147,024

Step by Step Solution

1. Step 1: Write the proportion equation
   67,584 : 147,024 = 147,024 : x
2. Step 2: Convert to fraction form
   67,584/147,024 = 147,024/x
3. Step 3: Cross multiply
   67,584x = 147,024 × 147,024
4. Step 4: Simplify right side
   67,584x = 21,616,056,576
5. Step 5: Solve for x
   x = 21,616,056,576/67,584
6. Step 6: Final answer
   x = 319,839.85