Finding the Third Proportional to 85,419 and 186,930

Step by Step Solution

1. Step 1: Write the proportion equation
   85,419 : 186,930 = 186,930 : x
2. Step 2: Convert to fraction form
   85,419/186,930 = 186,930/x
3. Step 3: Cross multiply
   85,419x = 186,930 × 186,930
4. Step 4: Simplify right side
   85,419x = 34,942,824,900
5. Step 5: Solve for x
   x = 34,942,824,900/85,419
6. Step 6: Final answer
   x = 409,075.56