Finding the Third Proportional to 78,078 and 123,510

Step by Step Solution

1. Step 1: Write the proportion equation
   78,078 : 123,510 = 123,510 : x
2. Step 2: Convert to fraction form
   78,078/123,510 = 123,510/x
3. Step 3: Cross multiply
   78,078x = 123,510 × 123,510
4. Step 4: Simplify right side
   78,078x = 15,254,720,100
5. Step 5: Solve for x
   x = 15,254,720,100/78,078
6. Step 6: Final answer
   x = 195,377.96