Finding the Third Proportional to 49,058 and 105,959

Step by Step Solution

1. Step 1: Write the proportion equation
   49,058 : 105,959 = 105,959 : x
2. Step 2: Convert to fraction form
   49,058/105,959 = 105,959/x
3. Step 3: Cross multiply
   49,058x = 105,959 × 105,959
4. Step 4: Simplify right side
   49,058x = 11,227,309,681
5. Step 5: Solve for x
   x = 11,227,309,681/49,058
6. Step 6: Final answer
   x = 228,857.88