Finding the Third Proportional to 83,764 and 131,114

Step by Step Solution

1. Step 1: Write the proportion equation
   83,764 : 131,114 = 131,114 : x
2. Step 2: Convert to fraction form
   83,764/131,114 = 131,114/x
3. Step 3: Cross multiply
   83,764x = 131,114 × 131,114
4. Step 4: Simplify right side
   83,764x = 17,190,880,996
5. Step 5: Solve for x
   x = 17,190,880,996/83,764
6. Step 6: Final answer
   x = 205,229.94