Finding the Third Proportional to 72,806 and 109,722

Step by Step Solution

1. Step 1: Write the proportion equation
   72,806 : 109,722 = 109,722 : x
2. Step 2: Convert to fraction form
   72,806/109,722 = 109,722/x
3. Step 3: Cross multiply
   72,806x = 109,722 × 109,722
4. Step 4: Simplify right side
   72,806x = 12,038,917,284
5. Step 5: Solve for x
   x = 12,038,917,284/72,806
6. Step 6: Final answer
   x = 165,356.11