Finding the Third Proportional to 83,236 and 127,648

Step by Step Solution

1. Step 1: Write the proportion equation
   83,236 : 127,648 = 127,648 : x
2. Step 2: Convert to fraction form
   83,236/127,648 = 127,648/x
3. Step 3: Cross multiply
   83,236x = 127,648 × 127,648
4. Step 4: Simplify right side
   83,236x = 16,294,011,904
5. Step 5: Solve for x
   x = 16,294,011,904/83,236
6. Step 6: Final answer
   x = 195,756.79