Finding the Third Proportional to 85,544 and 186,616

Step by Step Solution

1. Step 1: Write the proportion equation
   85,544 : 186,616 = 186,616 : x
2. Step 2: Convert to fraction form
   85,544/186,616 = 186,616/x
3. Step 3: Cross multiply
   85,544x = 186,616 × 186,616
4. Step 4: Simplify right side
   85,544x = 34,825,531,456
5. Step 5: Solve for x
   x = 34,825,531,456/85,544
6. Step 6: Final answer
   x = 407,106.65