Finding the Third Proportional to 72,833 and 109,918

Step by Step Solution

1. Step 1: Write the proportion equation
   72,833 : 109,918 = 109,918 : x
2. Step 2: Convert to fraction form
   72,833/109,918 = 109,918/x
3. Step 3: Cross multiply
   72,833x = 109,918 × 109,918
4. Step 4: Simplify right side
   72,833x = 12,081,966,724
5. Step 5: Solve for x
   x = 12,081,966,724/72,833
6. Step 6: Final answer
   x = 165,885.89