Finding the Third Proportional to 83,856 and 130,896

Step by Step Solution

1. Step 1: Write the proportion equation
   83,856 : 130,896 = 130,896 : x
2. Step 2: Convert to fraction form
   83,856/130,896 = 130,896/x
3. Step 3: Cross multiply
   83,856x = 130,896 × 130,896
4. Step 4: Simplify right side
   83,856x = 17,133,762,816
5. Step 5: Solve for x
   x = 17,133,762,816/83,856
6. Step 6: Final answer
   x = 204,323.64