Finding the Third Proportional to 63,834 and 137,145

Step by Step Solution

1. Step 1: Write the proportion equation
   63,834 : 137,145 = 137,145 : x
2. Step 2: Convert to fraction form
   63,834/137,145 = 137,145/x
3. Step 3: Cross multiply
   63,834x = 137,145 × 137,145
4. Step 4: Simplify right side
   63,834x = 18,808,751,025
5. Step 5: Solve for x
   x = 18,808,751,025/63,834
6. Step 6: Final answer
   x = 294,650.99