Finding the Third Proportional to 49,661 and 108,058

Step by Step Solution

1. Step 1: Write the proportion equation
   49,661 : 108,058 = 108,058 : x
2. Step 2: Convert to fraction form
   49,661/108,058 = 108,058/x
3. Step 3: Cross multiply
   49,661x = 108,058 × 108,058
4. Step 4: Simplify right side
   49,661x = 11,676,531,364
5. Step 5: Solve for x
   x = 11,676,531,364/49,661
6. Step 6: Final answer
   x = 235,124.77