Finding the Third Proportional to 72,198 and 150,174

Step by Step Solution

1. Step 1: Write the proportion equation
   72,198 : 150,174 = 150,174 : x
2. Step 2: Convert to fraction form
   72,198/150,174 = 150,174/x
3. Step 3: Cross multiply
   72,198x = 150,174 × 150,174
4. Step 4: Simplify right side
   72,198x = 22,552,230,276
5. Step 5: Solve for x
   x = 22,552,230,276/72,198
6. Step 6: Final answer
   x = 312,366.41