Finding the Third Proportional to 82,978 and 127,620

Step by Step Solution

1. Step 1: Write the proportion equation
   82,978 : 127,620 = 127,620 : x
2. Step 2: Convert to fraction form
   82,978/127,620 = 127,620/x
3. Step 3: Cross multiply
   82,978x = 127,620 × 127,620
4. Step 4: Simplify right side
   82,978x = 16,286,864,400
5. Step 5: Solve for x
   x = 16,286,864,400/82,978
6. Step 6: Final answer
   x = 196,279.31