Finding the Third Proportional to 49,090 and 105,076

Step by Step Solution

1. Step 1: Write the proportion equation
   49,090 : 105,076 = 105,076 : x
2. Step 2: Convert to fraction form
   49,090/105,076 = 105,076/x
3. Step 3: Cross multiply
   49,090x = 105,076 × 105,076
4. Step 4: Simplify right side
   49,090x = 11,040,965,776
5. Step 5: Solve for x
   x = 11,040,965,776/49,090
6. Step 6: Final answer
   x = 224,912.73