Finding the Third Proportional to 77,596 and 123,978

Step by Step Solution

1. Step 1: Write the proportion equation
   77,596 : 123,978 = 123,978 : x
2. Step 2: Convert to fraction form
   77,596/123,978 = 123,978/x
3. Step 3: Cross multiply
   77,596x = 123,978 × 123,978
4. Step 4: Simplify right side
   77,596x = 15,370,544,484
5. Step 5: Solve for x
   x = 15,370,544,484/77,596
6. Step 6: Final answer
   x = 198,084.24