Finding the Third Proportional to 82,308 and 126,884

Step by Step Solution

1. Step 1: Write the proportion equation
   82,308 : 126,884 = 126,884 : x
2. Step 2: Convert to fraction form
   82,308/126,884 = 126,884/x
3. Step 3: Cross multiply
   82,308x = 126,884 × 126,884
4. Step 4: Simplify right side
   82,308x = 16,099,549,456
5. Step 5: Solve for x
   x = 16,099,549,456/82,308
6. Step 6: Final answer
   x = 195,601.27