Finding the Third Proportional to 85,932 and 174,288

Step by Step Solution

1. Step 1: Write the proportion equation
   85,932 : 174,288 = 174,288 : x
2. Step 2: Convert to fraction form
   85,932/174,288 = 174,288/x
3. Step 3: Cross multiply
   85,932x = 174,288 × 174,288
4. Step 4: Simplify right side
   85,932x = 30,376,306,944
5. Step 5: Solve for x
   x = 30,376,306,944/85,932
6. Step 6: Final answer
   x = 353,492.38