Finding the Third Proportional to 81,813 and 109,941

Step by Step Solution

1. Step 1: Write the proportion equation
   81,813 : 109,941 = 109,941 : x
2. Step 2: Convert to fraction form
   81,813/109,941 = 109,941/x
3. Step 3: Cross multiply
   81,813x = 109,941 × 109,941
4. Step 4: Simplify right side
   81,813x = 12,087,023,481
5. Step 5: Solve for x
   x = 12,087,023,481/81,813
6. Step 6: Final answer
   x = 147,739.64