Finding the Third Proportional to 48,090 and 105,256

Step by Step Solution

1. Step 1: Write the proportion equation
   48,090 : 105,256 = 105,256 : x
2. Step 2: Convert to fraction form
   48,090/105,256 = 105,256/x
3. Step 3: Cross multiply
   48,090x = 105,256 × 105,256
4. Step 4: Simplify right side
   48,090x = 11,078,825,536
5. Step 5: Solve for x
   x = 11,078,825,536/48,090
6. Step 6: Final answer
   x = 230,376.91