Finding the Third Proportional to 63,856 and 137,120

Step by Step Solution

1. Step 1: Write the proportion equation
   63,856 : 137,120 = 137,120 : x
2. Step 2: Convert to fraction form
   63,856/137,120 = 137,120/x
3. Step 3: Cross multiply
   63,856x = 137,120 × 137,120
4. Step 4: Simplify right side
   63,856x = 18,801,894,400
5. Step 5: Solve for x
   x = 18,801,894,400/63,856
6. Step 6: Final answer
   x = 294,442.09