Finding the Third Proportional to 123,194 and 171,640

Step by Step Solution

1. Step 1: Write the proportion equation
   123,194 : 171,640 = 171,640 : x
2. Step 2: Convert to fraction form
   123,194/171,640 = 171,640/x
3. Step 3: Cross multiply
   123,194x = 171,640 × 171,640
4. Step 4: Simplify right side
   123,194x = 29,460,289,600
5. Step 5: Solve for x
   x = 29,460,289,600/123,194
6. Step 6: Final answer
   x = 239,137.37