Finding the Third Proportional to 164,072 and 241,500

Step by Step Solution

1. Step 1: Write the proportion equation
   164,072 : 241,500 = 241,500 : x
2. Step 2: Convert to fraction form
   164,072/241,500 = 241,500/x
3. Step 3: Cross multiply
   164,072x = 241,500 × 241,500
4. Step 4: Simplify right side
   164,072x = 58,322,250,000
5. Step 5: Solve for x
   x = 58,322,250,000/164,072
6. Step 6: Final answer
   x = 355,467.42