Finding the Third Proportional to 86,404 and 189,704

Step by Step Solution

1. Step 1: Write the proportion equation
   86,404 : 189,704 = 189,704 : x
2. Step 2: Convert to fraction form
   86,404/189,704 = 189,704/x
3. Step 3: Cross multiply
   86,404x = 189,704 × 189,704
4. Step 4: Simplify right side
   86,404x = 35,987,607,616
5. Step 5: Solve for x
   x = 35,987,607,616/86,404
6. Step 6: Final answer
   x = 416,503.95