Finding the Third Proportional to 81,590 and 109,801

Step by Step Solution

1. Step 1: Write the proportion equation
   81,590 : 109,801 = 109,801 : x
2. Step 2: Convert to fraction form
   81,590/109,801 = 109,801/x
3. Step 3: Cross multiply
   81,590x = 109,801 × 109,801
4. Step 4: Simplify right side
   81,590x = 12,056,259,601
5. Step 5: Solve for x
   x = 12,056,259,601/81,590
6. Step 6: Final answer
   x = 147,766.39