Finding the Third Proportional to 82,344 and 127,120.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,344 : 127,120.50 = 127,120.50 : x
2. Step 2: Convert to fraction form
   82,344/127,120.50 = 127,120.50/x
3. Step 3: Cross multiply
   82,344x = 127,120.50 × 127,120.50
4. Step 4: Simplify right side
   82,344x = 16,159,621,520.25
5. Step 5: Solve for x
   x = 16,159,621,520.25/82,344
6. Step 6: Final answer
   x = 196,245.28