Finding the Third Proportional to 107,685 and 154,143

Step by Step Solution

1. Step 1: Write the proportion equation
   107,685 : 154,143 = 154,143 : x
2. Step 2: Convert to fraction form
   107,685/154,143 = 154,143/x
3. Step 3: Cross multiply
   107,685x = 154,143 × 154,143
4. Step 4: Simplify right side
   107,685x = 23,760,064,449
5. Step 5: Solve for x
   x = 23,760,064,449/107,685
6. Step 6: Final answer
   x = 220,644.14