Finding the Third Proportional to 72,810 and 109,729

Step by Step Solution

1. Step 1: Write the proportion equation
   72,810 : 109,729 = 109,729 : x
2. Step 2: Convert to fraction form
   72,810/109,729 = 109,729/x
3. Step 3: Cross multiply
   72,810x = 109,729 × 109,729
4. Step 4: Simplify right side
   72,810x = 12,040,453,441
5. Step 5: Solve for x
   x = 12,040,453,441/72,810
6. Step 6: Final answer
   x = 165,368.13