Finding the Third Proportional to 78,069 and 123,498

Step by Step Solution

1. Step 1: Write the proportion equation
   78,069 : 123,498 = 123,498 : x
2. Step 2: Convert to fraction form
   78,069/123,498 = 123,498/x
3. Step 3: Cross multiply
   78,069x = 123,498 × 123,498
4. Step 4: Simplify right side
   78,069x = 15,251,756,004
5. Step 5: Solve for x
   x = 15,251,756,004/78,069
6. Step 6: Final answer
   x = 195,362.51