Finding the Third Proportional to 49,780 and 77,079

Step by Step Solution

1. Step 1: Write the proportion equation
   49,780 : 77,079 = 77,079 : x
2. Step 2: Convert to fraction form
   49,780/77,079 = 77,079/x
3. Step 3: Cross multiply
   49,780x = 77,079 × 77,079
4. Step 4: Simplify right side
   49,780x = 5,941,172,241
5. Step 5: Solve for x
   x = 5,941,172,241/49,780
6. Step 6: Final answer
   x = 119,348.58