Finding the Third Proportional to 86,499 and 189,393

Step by Step Solution

1. Step 1: Write the proportion equation
   86,499 : 189,393 = 189,393 : x
2. Step 2: Convert to fraction form
   86,499/189,393 = 189,393/x
3. Step 3: Cross multiply
   86,499x = 189,393 × 189,393
4. Step 4: Simplify right side
   86,499x = 35,869,708,449
5. Step 5: Solve for x
   x = 35,869,708,449/86,499
6. Step 6: Final answer
   x = 414,683.50