Finding the Third Proportional to 83,761 and 131,108

Step by Step Solution

1. Step 1: Write the proportion equation
   83,761 : 131,108 = 131,108 : x
2. Step 2: Convert to fraction form
   83,761/131,108 = 131,108/x
3. Step 3: Cross multiply
   83,761x = 131,108 × 131,108
4. Step 4: Simplify right side
   83,761x = 17,189,307,664
5. Step 5: Solve for x
   x = 17,189,307,664/83,761
6. Step 6: Final answer
   x = 205,218.51