Finding the Third Proportional to 186,796.50 and 405,345

Step by Step Solution

1. Step 1: Write the proportion equation
   186,796.50 : 405,345 = 405,345 : x
2. Step 2: Convert to fraction form
   186,796.50/405,345 = 405,345/x
3. Step 3: Cross multiply
   186,796.50x = 405,345 × 405,345
4. Step 4: Simplify right side
   186,796.50x = 164,304,569,025
5. Step 5: Solve for x
   x = 164,304,569,025/186,796.50
6. Step 6: Final answer
   x = 879,591.26