Finding the Third Proportional to 164,540 and 342,012

Step by Step Solution

1. Step 1: Write the proportion equation
   164,540 : 342,012 = 342,012 : x
2. Step 2: Convert to fraction form
   164,540/342,012 = 342,012/x
3. Step 3: Cross multiply
   164,540x = 342,012 × 342,012
4. Step 4: Simplify right side
   164,540x = 116,972,208,144
5. Step 5: Solve for x
   x = 116,972,208,144/164,540
6. Step 6: Final answer
   x = 710,904.39