Finding the Third Proportional to 82,783 and 126,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,783 : 126,746.50 = 126,746.50 : x
2. Step 2: Convert to fraction form
   82,783/126,746.50 = 126,746.50/x
3. Step 3: Cross multiply
   82,783x = 126,746.50 × 126,746.50
4. Step 4: Simplify right side
   82,783x = 16,064,675,262.25
5. Step 5: Solve for x
   x = 16,064,675,262.25/82,783
6. Step 6: Final answer
   x = 194,057.66