Finding the Third Proportional to 113,838 and 167,064

Step by Step Solution

1. Step 1: Write the proportion equation
   113,838 : 167,064 = 167,064 : x
2. Step 2: Convert to fraction form
   113,838/167,064 = 167,064/x
3. Step 3: Cross multiply
   113,838x = 167,064 × 167,064
4. Step 4: Simplify right side
   113,838x = 27,910,380,096
5. Step 5: Solve for x
   x = 27,910,380,096/113,838
6. Step 6: Final answer
   x = 245,176.30