Finding the Third Proportional to 72,828 and 109,910

Step by Step Solution

1. Step 1: Write the proportion equation
   72,828 : 109,910 = 109,910 : x
2. Step 2: Convert to fraction form
   72,828/109,910 = 109,910/x
3. Step 3: Cross multiply
   72,828x = 109,910 × 109,910
4. Step 4: Simplify right side
   72,828x = 12,080,208,100
5. Step 5: Solve for x
   x = 12,080,208,100/72,828
6. Step 6: Final answer
   x = 165,873.13