Finding the Third Proportional to 86,842 and 189,290

Step by Step Solution

1. Step 1: Write the proportion equation
   86,842 : 189,290 = 189,290 : x
2. Step 2: Convert to fraction form
   86,842/189,290 = 189,290/x
3. Step 3: Cross multiply
   86,842x = 189,290 × 189,290
4. Step 4: Simplify right side
   86,842x = 35,830,704,100
5. Step 5: Solve for x
   x = 35,830,704,100/86,842
6. Step 6: Final answer
   x = 412,596.49