Finding the Third Proportional to 81,742 and 109,848

Step by Step Solution

1. Step 1: Write the proportion equation
   81,742 : 109,848 = 109,848 : x
2. Step 2: Convert to fraction form
   81,742/109,848 = 109,848/x
3. Step 3: Cross multiply
   81,742x = 109,848 × 109,848
4. Step 4: Simplify right side
   81,742x = 12,066,583,104
5. Step 5: Solve for x
   x = 12,066,583,104/81,742
6. Step 6: Final answer
   x = 147,617.91