Finding the Third Proportional to 77,780 and 123,675

Step by Step Solution

1. Step 1: Write the proportion equation
   77,780 : 123,675 = 123,675 : x
2. Step 2: Convert to fraction form
   77,780/123,675 = 123,675/x
3. Step 3: Cross multiply
   77,780x = 123,675 × 123,675
4. Step 4: Simplify right side
   77,780x = 15,295,505,625
5. Step 5: Solve for x
   x = 15,295,505,625/77,780
6. Step 6: Final answer
   x = 196,650.88