Finding the Third Proportional to 82,743.75 and 116,582.63

Step by Step Solution

1. Step 1: Write the proportion equation
   82,743.75 : 116,582.63 = 116,582.63 : x
2. Step 2: Convert to fraction form
   82,743.75/116,582.63 = 116,582.63/x
3. Step 3: Cross multiply
   82,743.75x = 116,582.63 × 116,582.63
4. Step 4: Simplify right side
   82,743.75x = 13,591,508,451.89
5. Step 5: Solve for x
   x = 13,591,508,451.89/82,743.75
6. Step 6: Final answer
   x = 164,260.24