Finding the Third Proportional to 94,947 and 142,728

Step by Step Solution

1. Step 1: Write the proportion equation
   94,947 : 142,728 = 142,728 : x
2. Step 2: Convert to fraction form
   94,947/142,728 = 142,728/x
3. Step 3: Cross multiply
   94,947x = 142,728 × 142,728
4. Step 4: Simplify right side
   94,947x = 20,371,281,984
5. Step 5: Solve for x
   x = 20,371,281,984/94,947
6. Step 6: Final answer
   x = 214,554.25