Finding the Third Proportional to 48,145 and 105,038

Step by Step Solution

1. Step 1: Write the proportion equation
   48,145 : 105,038 = 105,038 : x
2. Step 2: Convert to fraction form
   48,145/105,038 = 105,038/x
3. Step 3: Cross multiply
   48,145x = 105,038 × 105,038
4. Step 4: Simplify right side
   48,145x = 11,032,981,444
5. Step 5: Solve for x
   x = 11,032,981,444/48,145
6. Step 6: Final answer
   x = 229,161.52