Finding the Third Proportional to 72,178 and 160,760

Step by Step Solution

1. Step 1: Write the proportion equation
   72,178 : 160,760 = 160,760 : x
2. Step 2: Convert to fraction form
   72,178/160,760 = 160,760/x
3. Step 3: Cross multiply
   72,178x = 160,760 × 160,760
4. Step 4: Simplify right side
   72,178x = 25,843,777,600
5. Step 5: Solve for x
   x = 25,843,777,600/72,178
6. Step 6: Final answer
   x = 358,056.16