Finding the Third Proportional to 164,064 and 341,223

Step by Step Solution

1. Step 1: Write the proportion equation
   164,064 : 341,223 = 341,223 : x
2. Step 2: Convert to fraction form
   164,064/341,223 = 341,223/x
3. Step 3: Cross multiply
   164,064x = 341,223 × 341,223
4. Step 4: Simplify right side
   164,064x = 116,433,135,729
5. Step 5: Solve for x
   x = 116,433,135,729/164,064
6. Step 6: Final answer
   x = 709,681.20