Finding the Third Proportional to 78,002 and 123,990

Step by Step Solution

1. Step 1: Write the proportion equation
   78,002 : 123,990 = 123,990 : x
2. Step 2: Convert to fraction form
   78,002/123,990 = 123,990/x
3. Step 3: Cross multiply
   78,002x = 123,990 × 123,990
4. Step 4: Simplify right side
   78,002x = 15,373,520,100
5. Step 5: Solve for x
   x = 15,373,520,100/78,002
6. Step 6: Final answer
   x = 197,091.36