Finding the Third Proportional to 77,998 and 123,984

Step by Step Solution

1. Step 1: Write the proportion equation
   77,998 : 123,984 = 123,984 : x
2. Step 2: Convert to fraction form
   77,998/123,984 = 123,984/x
3. Step 3: Cross multiply
   77,998x = 123,984 × 123,984
4. Step 4: Simplify right side
   77,998x = 15,372,032,256
5. Step 5: Solve for x
   x = 15,372,032,256/77,998
6. Step 6: Final answer
   x = 197,082.39