Finding the Third Proportional to 164,662 and 342,242

Step by Step Solution

1. Step 1: Write the proportion equation
   164,662 : 342,242 = 342,242 : x
2. Step 2: Convert to fraction form
   164,662/342,242 = 342,242/x
3. Step 3: Cross multiply
   164,662x = 342,242 × 342,242
4. Step 4: Simplify right side
   164,662x = 117,129,586,564
5. Step 5: Solve for x
   x = 117,129,586,564/164,662
6. Step 6: Final answer
   x = 711,333.44