Finding the Third Proportional to 82,168 and 130,784

Step by Step Solution

1. Step 1: Write the proportion equation
   82,168 : 130,784 = 130,784 : x
2. Step 2: Convert to fraction form
   82,168/130,784 = 130,784/x
3. Step 3: Cross multiply
   82,168x = 130,784 × 130,784
4. Step 4: Simplify right side
   82,168x = 17,104,454,656
5. Step 5: Solve for x
   x = 17,104,454,656/82,168
6. Step 6: Final answer
   x = 208,164.43