Finding the Third Proportional to 48,146 and 105,040

Step by Step Solution

1. Step 1: Write the proportion equation
   48,146 : 105,040 = 105,040 : x
2. Step 2: Convert to fraction form
   48,146/105,040 = 105,040/x
3. Step 3: Cross multiply
   48,146x = 105,040 × 105,040
4. Step 4: Simplify right side
   48,146x = 11,033,401,600
5. Step 5: Solve for x
   x = 11,033,401,600/48,146
6. Step 6: Final answer
   x = 229,165.49