Finding the Third Proportional to 72,657 and 154,116

Step by Step Solution

1. Step 1: Write the proportion equation
   72,657 : 154,116 = 154,116 : x
2. Step 2: Convert to fraction form
   72,657/154,116 = 154,116/x
3. Step 3: Cross multiply
   72,657x = 154,116 × 154,116
4. Step 4: Simplify right side
   72,657x = 23,751,741,456
5. Step 5: Solve for x
   x = 23,751,741,456/72,657
6. Step 6: Final answer
   x = 326,902.31