Finding the Third Proportional to 82,749 and 127,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,749 : 127,868.50 = 127,868.50 : x
2. Step 2: Convert to fraction form
   82,749/127,868.50 = 127,868.50/x
3. Step 3: Cross multiply
   82,749x = 127,868.50 × 127,868.50
4. Step 4: Simplify right side
   82,749x = 16,350,353,292.25
5. Step 5: Solve for x
   x = 16,350,353,292.25/82,749
6. Step 6: Final answer
   x = 197,589.74