Finding the Third Proportional to 72,818 and 109,894

Step by Step Solution

1. Step 1: Write the proportion equation
   72,818 : 109,894 = 109,894 : x
2. Step 2: Convert to fraction form
   72,818/109,894 = 109,894/x
3. Step 3: Cross multiply
   72,818x = 109,894 × 109,894
4. Step 4: Simplify right side
   72,818x = 12,076,691,236
5. Step 5: Solve for x
   x = 12,076,691,236/72,818
6. Step 6: Final answer
   x = 165,847.61