Finding the Third Proportional to 86,004 and 188,532

Step by Step Solution

1. Step 1: Write the proportion equation
   86,004 : 188,532 = 188,532 : x
2. Step 2: Convert to fraction form
   86,004/188,532 = 188,532/x
3. Step 3: Cross multiply
   86,004x = 188,532 × 188,532
4. Step 4: Simplify right side
   86,004x = 35,544,315,024
5. Step 5: Solve for x
   x = 35,544,315,024/86,004
6. Step 6: Final answer
   x = 413,286.77