Finding the Third Proportional to 83,936 and 128,091

Step by Step Solution

1. Step 1: Write the proportion equation
   83,936 : 128,091 = 128,091 : x
2. Step 2: Convert to fraction form
   83,936/128,091 = 128,091/x
3. Step 3: Cross multiply
   83,936x = 128,091 × 128,091
4. Step 4: Simplify right side
   83,936x = 16,407,304,281
5. Step 5: Solve for x
   x = 16,407,304,281/83,936
6. Step 6: Final answer
   x = 195,473.98