Finding the Third Proportional to 49,092 and 105,128

Step by Step Solution

1. Step 1: Write the proportion equation
   49,092 : 105,128 = 105,128 : x
2. Step 2: Convert to fraction form
   49,092/105,128 = 105,128/x
3. Step 3: Cross multiply
   49,092x = 105,128 × 105,128
4. Step 4: Simplify right side
   49,092x = 11,051,896,384
5. Step 5: Solve for x
   x = 11,051,896,384/49,092
6. Step 6: Final answer
   x = 225,126.22