Finding the Third Proportional to 72,181 and 160,766

Step by Step Solution

1. Step 1: Write the proportion equation
   72,181 : 160,766 = 160,766 : x
2. Step 2: Convert to fraction form
   72,181/160,766 = 160,766/x
3. Step 3: Cross multiply
   72,181x = 160,766 × 160,766
4. Step 4: Simplify right side
   72,181x = 25,845,706,756
5. Step 5: Solve for x
   x = 25,845,706,756/72,181
6. Step 6: Final answer
   x = 358,068.01