Finding the Third Proportional to 169,826 and 362,188

Step by Step Solution

1. Step 1: Write the proportion equation
   169,826 : 362,188 = 362,188 : x
2. Step 2: Convert to fraction form
   169,826/362,188 = 362,188/x
3. Step 3: Cross multiply
   169,826x = 362,188 × 362,188
4. Step 4: Simplify right side
   169,826x = 131,180,147,344
5. Step 5: Solve for x
   x = 131,180,147,344/169,826
6. Step 6: Final answer
   x = 772,438.54