Finding the Third Proportional to 122,361 and 189,105

Step by Step Solution

1. Step 1: Write the proportion equation
   122,361 : 189,105 = 189,105 : x
2. Step 2: Convert to fraction form
   122,361/189,105 = 189,105/x
3. Step 3: Cross multiply
   122,361x = 189,105 × 189,105
4. Step 4: Simplify right side
   122,361x = 35,760,701,025
5. Step 5: Solve for x
   x = 35,760,701,025/122,361
6. Step 6: Final answer
   x = 292,255.71