Finding the Third Proportional to 83,632 and 131,172

Step by Step Solution

1. Step 1: Write the proportion equation
   83,632 : 131,172 = 131,172 : x
2. Step 2: Convert to fraction form
   83,632/131,172 = 131,172/x
3. Step 3: Cross multiply
   83,632x = 131,172 × 131,172
4. Step 4: Simplify right side
   83,632x = 17,206,093,584
5. Step 5: Solve for x
   x = 17,206,093,584/83,632
6. Step 6: Final answer
   x = 205,735.77