Finding the Third Proportional to 79,866 and 123,643

Step by Step Solution

1. Step 1: Write the proportion equation
   79,866 : 123,643 = 123,643 : x
2. Step 2: Convert to fraction form
   79,866/123,643 = 123,643/x
3. Step 3: Cross multiply
   79,866x = 123,643 × 123,643
4. Step 4: Simplify right side
   79,866x = 15,287,591,449
5. Step 5: Solve for x
   x = 15,287,591,449/79,866
6. Step 6: Final answer
   x = 191,415.51