Finding the Third Proportional to 83,836 and 130,857

Step by Step Solution

1. Step 1: Write the proportion equation
   83,836 : 130,857 = 130,857 : x
2. Step 2: Convert to fraction form
   83,836/130,857 = 130,857/x
3. Step 3: Cross multiply
   83,836x = 130,857 × 130,857
4. Step 4: Simplify right side
   83,836x = 17,123,554,449
5. Step 5: Solve for x
   x = 17,123,554,449/83,836
6. Step 6: Final answer
   x = 204,250.61