Finding the Third Proportional to 49,567 and 76,780

Step by Step Solution

1. Step 1: Write the proportion equation
   49,567 : 76,780 = 76,780 : x
2. Step 2: Convert to fraction form
   49,567/76,780 = 76,780/x
3. Step 3: Cross multiply
   49,567x = 76,780 × 76,780
4. Step 4: Simplify right side
   49,567x = 5,895,168,400
5. Step 5: Solve for x
   x = 5,895,168,400/49,567
6. Step 6: Final answer
   x = 118,933.33