Finding the Third Proportional to 186,955.50 and 405,456

Step by Step Solution

1. Step 1: Write the proportion equation
   186,955.50 : 405,456 = 405,456 : x
2. Step 2: Convert to fraction form
   186,955.50/405,456 = 405,456/x
3. Step 3: Cross multiply
   186,955.50x = 405,456 × 405,456
4. Step 4: Simplify right side
   186,955.50x = 164,394,567,936
5. Step 5: Solve for x
   x = 164,394,567,936/186,955.50
6. Step 6: Final answer
   x = 879,324.59