Finding the Third Proportional to 85,447 and 186,976

Step by Step Solution

1. Step 1: Write the proportion equation
   85,447 : 186,976 = 186,976 : x
2. Step 2: Convert to fraction form
   85,447/186,976 = 186,976/x
3. Step 3: Cross multiply
   85,447x = 186,976 × 186,976
4. Step 4: Simplify right side
   85,447x = 34,960,024,576
5. Step 5: Solve for x
   x = 34,960,024,576/85,447
6. Step 6: Final answer
   x = 409,142.80