Finding the Third Proportional to 85,216 and 186,997

Step by Step Solution

1. Step 1: Write the proportion equation
   85,216 : 186,997 = 186,997 : x
2. Step 2: Convert to fraction form
   85,216/186,997 = 186,997/x
3. Step 3: Cross multiply
   85,216x = 186,997 × 186,997
4. Step 4: Simplify right side
   85,216x = 34,967,878,009
5. Step 5: Solve for x
   x = 34,967,878,009/85,216
6. Step 6: Final answer
   x = 410,344.04