Finding the Third Proportional to 49,871 and 83,114

Step by Step Solution

1. Step 1: Write the proportion equation
   49,871 : 83,114 = 83,114 : x
2. Step 2: Convert to fraction form
   49,871/83,114 = 83,114/x
3. Step 3: Cross multiply
   49,871x = 83,114 × 83,114
4. Step 4: Simplify right side
   49,871x = 6,907,936,996
5. Step 5: Solve for x
   x = 6,907,936,996/49,871
6. Step 6: Final answer
   x = 138,516.11