Finding the Third Proportional to 82,144 and 130,748

Step by Step Solution

1. Step 1: Write the proportion equation
   82,144 : 130,748 = 130,748 : x
2. Step 2: Convert to fraction form
   82,144/130,748 = 130,748/x
3. Step 3: Cross multiply
   82,144x = 130,748 × 130,748
4. Step 4: Simplify right side
   82,144x = 17,095,039,504
5. Step 5: Solve for x
   x = 17,095,039,504/82,144
6. Step 6: Final answer
   x = 208,110.63