Finding the Third Proportional to 34,256 and 75,058

Step by Step Solution

1. Step 1: Write the proportion equation
   34,256 : 75,058 = 75,058 : x
2. Step 2: Convert to fraction form
   34,256/75,058 = 75,058/x
3. Step 3: Cross multiply
   34,256x = 75,058 × 75,058
4. Step 4: Simplify right side
   34,256x = 5,633,703,364
5. Step 5: Solve for x
   x = 5,633,703,364/34,256
6. Step 6: Final answer
   x = 164,458.88