Finding the Third Proportional to 72,180 and 160,764

Step by Step Solution

1. Step 1: Write the proportion equation
   72,180 : 160,764 = 160,764 : x
2. Step 2: Convert to fraction form
   72,180/160,764 = 160,764/x
3. Step 3: Cross multiply
   72,180x = 160,764 × 160,764
4. Step 4: Simplify right side
   72,180x = 25,845,063,696
5. Step 5: Solve for x
   x = 25,845,063,696/72,180
6. Step 6: Final answer
   x = 358,064.06