Finding the Third Proportional to 87,777 and 186,012

Step by Step Solution

1. Step 1: Write the proportion equation
   87,777 : 186,012 = 186,012 : x
2. Step 2: Convert to fraction form
   87,777/186,012 = 186,012/x
3. Step 3: Cross multiply
   87,777x = 186,012 × 186,012
4. Step 4: Simplify right side
   87,777x = 34,600,464,144
5. Step 5: Solve for x
   x = 34,600,464,144/87,777
6. Step 6: Final answer
   x = 394,186.00