Finding the Third Proportional to 81,772 and 109,894

Step by Step Solution

1. Step 1: Write the proportion equation
   81,772 : 109,894 = 109,894 : x
2. Step 2: Convert to fraction form
   81,772/109,894 = 109,894/x
3. Step 3: Cross multiply
   81,772x = 109,894 × 109,894
4. Step 4: Simplify right side
   81,772x = 12,076,691,236
5. Step 5: Solve for x
   x = 12,076,691,236/81,772
6. Step 6: Final answer
   x = 147,687.37