Finding the Third Proportional to 85,468 and 185,678

Step by Step Solution

1. Step 1: Write the proportion equation
   85,468 : 185,678 = 185,678 : x
2. Step 2: Convert to fraction form
   85,468/185,678 = 185,678/x
3. Step 3: Cross multiply
   85,468x = 185,678 × 185,678
4. Step 4: Simplify right side
   85,468x = 34,476,319,684
5. Step 5: Solve for x
   x = 34,476,319,684/85,468
6. Step 6: Final answer
   x = 403,382.78