Finding the Third Proportional to 85,908 and 174,228

Step by Step Solution

1. Step 1: Write the proportion equation
   85,908 : 174,228 = 174,228 : x
2. Step 2: Convert to fraction form
   85,908/174,228 = 174,228/x
3. Step 3: Cross multiply
   85,908x = 174,228 × 174,228
4. Step 4: Simplify right side
   85,908x = 30,355,395,984
5. Step 5: Solve for x
   x = 30,355,395,984/85,908
6. Step 6: Final answer
   x = 353,347.72