Finding the Third Proportional to 269,105.63 and 416,682

Step by Step Solution

1. Step 1: Write the proportion equation
   269,105.63 : 416,682 = 416,682 : x
2. Step 2: Convert to fraction form
   269,105.63/416,682 = 416,682/x
3. Step 3: Cross multiply
   269,105.63x = 416,682 × 416,682
4. Step 4: Simplify right side
   269,105.63x = 173,623,889,124
5. Step 5: Solve for x
   x = 173,623,889,124/269,105.63
6. Step 6: Final answer
   x = 645,188.63