Finding the Third Proportional to 63,564 and 137,064

Step by Step Solution

1. Step 1: Write the proportion equation
   63,564 : 137,064 = 137,064 : x
2. Step 2: Convert to fraction form
   63,564/137,064 = 137,064/x
3. Step 3: Cross multiply
   63,564x = 137,064 × 137,064
4. Step 4: Simplify right side
   63,564x = 18,786,540,096
5. Step 5: Solve for x
   x = 18,786,540,096/63,564
6. Step 6: Final answer
   x = 295,553.14