Finding the Third Proportional to 122,238 and 189,116

Step by Step Solution

1. Step 1: Write the proportion equation
   122,238 : 189,116 = 189,116 : x
2. Step 2: Convert to fraction form
   122,238/189,116 = 189,116/x
3. Step 3: Cross multiply
   122,238x = 189,116 × 189,116
4. Step 4: Simplify right side
   122,238x = 35,764,861,456
5. Step 5: Solve for x
   x = 35,764,861,456/122,238
6. Step 6: Final answer
   x = 292,583.82