Finding the Third Proportional to 72,238 and 107,736

Step by Step Solution

1. Step 1: Write the proportion equation
   72,238 : 107,736 = 107,736 : x
2. Step 2: Convert to fraction form
   72,238/107,736 = 107,736/x
3. Step 3: Cross multiply
   72,238x = 107,736 × 107,736
4. Step 4: Simplify right side
   72,238x = 11,607,045,696
5. Step 5: Solve for x
   x = 11,607,045,696/72,238
6. Step 6: Final answer
   x = 160,677.84