Finding the Third Proportional to 86,402 and 188,842

Step by Step Solution

1. Step 1: Write the proportion equation
   86,402 : 188,842 = 188,842 : x
2. Step 2: Convert to fraction form
   86,402/188,842 = 188,842/x
3. Step 3: Cross multiply
   86,402x = 188,842 × 188,842
4. Step 4: Simplify right side
   86,402x = 35,661,300,964
5. Step 5: Solve for x
   x = 35,661,300,964/86,402
6. Step 6: Final answer
   x = 412,736.98