Finding the Third Proportional to 66,084 and 141,384

Step by Step Solution

1. Step 1: Write the proportion equation
   66,084 : 141,384 = 141,384 : x
2. Step 2: Convert to fraction form
   66,084/141,384 = 141,384/x
3. Step 3: Cross multiply
   66,084x = 141,384 × 141,384
4. Step 4: Simplify right side
   66,084x = 19,989,435,456
5. Step 5: Solve for x
   x = 19,989,435,456/66,084
6. Step 6: Final answer
   x = 302,485.25