Finding the Third Proportional to 67,084 and 139,724

Step by Step Solution

1. Step 1: Write the proportion equation
   67,084 : 139,724 = 139,724 : x
2. Step 2: Convert to fraction form
   67,084/139,724 = 139,724/x
3. Step 3: Cross multiply
   67,084x = 139,724 × 139,724
4. Step 4: Simplify right side
   67,084x = 19,522,796,176
5. Step 5: Solve for x
   x = 19,522,796,176/67,084
6. Step 6: Final answer
   x = 291,020.16