Finding the Third Proportional to 63,084 and 137,976

Step by Step Solution

1. Step 1: Write the proportion equation
   63,084 : 137,976 = 137,976 : x
2. Step 2: Convert to fraction form
   63,084/137,976 = 137,976/x
3. Step 3: Cross multiply
   63,084x = 137,976 × 137,976
4. Step 4: Simplify right side
   63,084x = 19,037,376,576
5. Step 5: Solve for x
   x = 19,037,376,576/63,084
6. Step 6: Final answer
   x = 301,778.21