Finding the Third Proportional to 85,842 and 188,291

Step by Step Solution

1. Step 1: Write the proportion equation
   85,842 : 188,291 = 188,291 : x
2. Step 2: Convert to fraction form
   85,842/188,291 = 188,291/x
3. Step 3: Cross multiply
   85,842x = 188,291 × 188,291
4. Step 4: Simplify right side
   85,842x = 35,453,500,681
5. Step 5: Solve for x
   x = 35,453,500,681/85,842
6. Step 6: Final answer
   x = 413,008.79