Finding the Third Proportional to 186,958.50 and 405,462

Step by Step Solution

1. Step 1: Write the proportion equation
   186,958.50 : 405,462 = 405,462 : x
2. Step 2: Convert to fraction form
   186,958.50/405,462 = 405,462/x
3. Step 3: Cross multiply
   186,958.50x = 405,462 × 405,462
4. Step 4: Simplify right side
   186,958.50x = 164,399,433,444
5. Step 5: Solve for x
   x = 164,399,433,444/186,958.50
6. Step 6: Final answer
   x = 879,336.50