Finding the Third Proportional to 83,554 and 131,271

Step by Step Solution

1. Step 1: Write the proportion equation
   83,554 : 131,271 = 131,271 : x
2. Step 2: Convert to fraction form
   83,554/131,271 = 131,271/x
3. Step 3: Cross multiply
   83,554x = 131,271 × 131,271
4. Step 4: Simplify right side
   83,554x = 17,232,075,441
5. Step 5: Solve for x
   x = 17,232,075,441/83,554
6. Step 6: Final answer
   x = 206,238.78