Finding the Third Proportional to 72,829 and 109,912

Step by Step Solution

1. Step 1: Write the proportion equation
   72,829 : 109,912 = 109,912 : x
2. Step 2: Convert to fraction form
   72,829/109,912 = 109,912/x
3. Step 3: Cross multiply
   72,829x = 109,912 × 109,912
4. Step 4: Simplify right side
   72,829x = 12,080,647,744
5. Step 5: Solve for x
   x = 12,080,647,744/72,829
6. Step 6: Final answer
   x = 165,876.89