Finding the Third Proportional to 72,546 and 110,904

Step by Step Solution

1. Step 1: Write the proportion equation
   72,546 : 110,904 = 110,904 : x
2. Step 2: Convert to fraction form
   72,546/110,904 = 110,904/x
3. Step 3: Cross multiply
   72,546x = 110,904 × 110,904
4. Step 4: Simplify right side
   72,546x = 12,299,697,216
5. Step 5: Solve for x
   x = 12,299,697,216/72,546
6. Step 6: Final answer
   x = 169,543.42