Finding the Third Proportional to 55,780 and 78,019

Step by Step Solution

1. Step 1: Write the proportion equation
   55,780 : 78,019 = 78,019 : x
2. Step 2: Convert to fraction form
   55,780/78,019 = 78,019/x
3. Step 3: Cross multiply
   55,780x = 78,019 × 78,019
4. Step 4: Simplify right side
   55,780x = 6,086,964,361
5. Step 5: Solve for x
   x = 6,086,964,361/55,780
6. Step 6: Final answer
   x = 109,124.50