Finding the Third Proportional to 79,776 and 123,509

Step by Step Solution

1. Step 1: Write the proportion equation
   79,776 : 123,509 = 123,509 : x
2. Step 2: Convert to fraction form
   79,776/123,509 = 123,509/x
3. Step 3: Cross multiply
   79,776x = 123,509 × 123,509
4. Step 4: Simplify right side
   79,776x = 15,254,473,081
5. Step 5: Solve for x
   x = 15,254,473,081/79,776
6. Step 6: Final answer
   x = 191,216.32