Finding the Third Proportional to 132,408 and 185,216

Step by Step Solution

1. Step 1: Write the proportion equation
   132,408 : 185,216 = 185,216 : x
2. Step 2: Convert to fraction form
   132,408/185,216 = 185,216/x
3. Step 3: Cross multiply
   132,408x = 185,216 × 185,216
4. Step 4: Simplify right side
   132,408x = 34,304,966,656
5. Step 5: Solve for x
   x = 34,304,966,656/132,408
6. Step 6: Final answer
   x = 259,085.30