Finding the Third Proportional to 72,106 and 154,176

Step by Step Solution

1. Step 1: Write the proportion equation
   72,106 : 154,176 = 154,176 : x
2. Step 2: Convert to fraction form
   72,106/154,176 = 154,176/x
3. Step 3: Cross multiply
   72,106x = 154,176 × 154,176
4. Step 4: Simplify right side
   72,106x = 23,770,238,976
5. Step 5: Solve for x
   x = 23,770,238,976/72,106
6. Step 6: Final answer
   x = 329,656.88