Finding the Third Proportional to 71,648 and 105,288

Step by Step Solution

1. Step 1: Write the proportion equation
   71,648 : 105,288 = 105,288 : x
2. Step 2: Convert to fraction form
   71,648/105,288 = 105,288/x
3. Step 3: Cross multiply
   71,648x = 105,288 × 105,288
4. Step 4: Simplify right side
   71,648x = 11,085,562,944
5. Step 5: Solve for x
   x = 11,085,562,944/71,648
6. Step 6: Final answer
   x = 154,722.57