Finding the Third Proportional to 105,784 and 164,058

Step by Step Solution

1. Step 1: Write the proportion equation
   105,784 : 164,058 = 164,058 : x
2. Step 2: Convert to fraction form
   105,784/164,058 = 164,058/x
3. Step 3: Cross multiply
   105,784x = 164,058 × 164,058
4. Step 4: Simplify right side
   105,784x = 26,915,027,364
5. Step 5: Solve for x
   x = 26,915,027,364/105,784
6. Step 6: Final answer
   x = 254,433.82