Finding the Third Proportional to 89,796 and 142,956

Step by Step Solution

1. Step 1: Write the proportion equation
   89,796 : 142,956 = 142,956 : x
2. Step 2: Convert to fraction form
   89,796/142,956 = 142,956/x
3. Step 3: Cross multiply
   89,796x = 142,956 × 142,956
4. Step 4: Simplify right side
   89,796x = 20,436,417,936
5. Step 5: Solve for x
   x = 20,436,417,936/89,796
6. Step 6: Final answer
   x = 227,587.17