Finding the Third Proportional to 164,182 and 359,216

Step by Step Solution

1. Step 1: Write the proportion equation
   164,182 : 359,216 = 359,216 : x
2. Step 2: Convert to fraction form
   164,182/359,216 = 359,216/x
3. Step 3: Cross multiply
   164,182x = 359,216 × 359,216
4. Step 4: Simplify right side
   164,182x = 129,036,134,656
5. Step 5: Solve for x
   x = 129,036,134,656/164,182
6. Step 6: Final answer
   x = 785,933.50