Finding the Third Proportional to 121,962 and 185,105

Step by Step Solution

1. Step 1: Write the proportion equation
   121,962 : 185,105 = 185,105 : x
2. Step 2: Convert to fraction form
   121,962/185,105 = 185,105/x
3. Step 3: Cross multiply
   121,962x = 185,105 × 185,105
4. Step 4: Simplify right side
   121,962x = 34,263,861,025
5. Step 5: Solve for x
   x = 34,263,861,025/121,962
6. Step 6: Final answer
   x = 280,938.83