Finding the Third Proportional to 63,171 and 137,478

Step by Step Solution

1. Step 1: Write the proportion equation
   63,171 : 137,478 = 137,478 : x
2. Step 2: Convert to fraction form
   63,171/137,478 = 137,478/x
3. Step 3: Cross multiply
   63,171x = 137,478 × 137,478
4. Step 4: Simplify right side
   63,171x = 18,900,200,484
5. Step 5: Solve for x
   x = 18,900,200,484/63,171
6. Step 6: Final answer
   x = 299,191.09