Finding the Third Proportional to 82,707.75 and 116,472.94

Step by Step Solution

1. Step 1: Write the proportion equation
   82,707.75 : 116,472.94 = 116,472.94 : x
2. Step 2: Convert to fraction form
   82,707.75/116,472.94 = 116,472.94/x
3. Step 3: Cross multiply
   82,707.75x = 116,472.94 × 116,472.94
4. Step 4: Simplify right side
   82,707.75x = 13,565,945,169.88
5. Step 5: Solve for x
   x = 13,565,945,169.88/82,707.75
6. Step 6: Final answer
   x = 164,022.66