Finding the Third Proportional to 82,859 and 131,413

Step by Step Solution

1. Step 1: Write the proportion equation
   82,859 : 131,413 = 131,413 : x
2. Step 2: Convert to fraction form
   82,859/131,413 = 131,413/x
3. Step 3: Cross multiply
   82,859x = 131,413 × 131,413
4. Step 4: Simplify right side
   82,859x = 17,269,376,569
5. Step 5: Solve for x
   x = 17,269,376,569/82,859
6. Step 6: Final answer
   x = 208,418.84