Finding the Third Proportional to 86,584 and 189,050

Step by Step Solution

1. Step 1: Write the proportion equation
   86,584 : 189,050 = 189,050 : x
2. Step 2: Convert to fraction form
   86,584/189,050 = 189,050/x
3. Step 3: Cross multiply
   86,584x = 189,050 × 189,050
4. Step 4: Simplify right side
   86,584x = 35,739,902,500
5. Step 5: Solve for x
   x = 35,739,902,500/86,584
6. Step 6: Final answer
   x = 412,777.22