Finding the Third Proportional to 83,869 and 123,129

Step by Step Solution

1. Step 1: Write the proportion equation
   83,869 : 123,129 = 123,129 : x
2. Step 2: Convert to fraction form
   83,869/123,129 = 123,129/x
3. Step 3: Cross multiply
   83,869x = 123,129 × 123,129
4. Step 4: Simplify right side
   83,869x = 15,160,750,641
5. Step 5: Solve for x
   x = 15,160,750,641/83,869
6. Step 6: Final answer
   x = 180,767.04