Finding the Third Proportional to 171,036 and 364,216

Step by Step Solution

1. Step 1: Write the proportion equation
   171,036 : 364,216 = 364,216 : x
2. Step 2: Convert to fraction form
   171,036/364,216 = 364,216/x
3. Step 3: Cross multiply
   171,036x = 364,216 × 364,216
4. Step 4: Simplify right side
   171,036x = 132,653,294,656
5. Step 5: Solve for x
   x = 132,653,294,656/171,036
6. Step 6: Final answer
   x = 775,586.98