Finding the Third Proportional to 85,839.75 and 186,456.94

Step by Step Solution

1. Step 1: Write the proportion equation
   85,839.75 : 186,456.94 = 186,456.94 : x
2. Step 2: Convert to fraction form
   85,839.75/186,456.94 = 186,456.94/x
3. Step 3: Cross multiply
   85,839.75x = 186,456.94 × 186,456.94
4. Step 4: Simplify right side
   85,839.75x = 34,766,189,541.88
5. Step 5: Solve for x
   x = 34,766,189,541.88/85,839.75
6. Step 6: Final answer
   x = 405,012.71