Finding the Third Proportional to 105,723 and 154,615

Step by Step Solution

1. Step 1: Write the proportion equation
   105,723 : 154,615 = 154,615 : x
2. Step 2: Convert to fraction form
   105,723/154,615 = 154,615/x
3. Step 3: Cross multiply
   105,723x = 154,615 × 154,615
4. Step 4: Simplify right side
   105,723x = 23,905,798,225
5. Step 5: Solve for x
   x = 23,905,798,225/105,723
6. Step 6: Final answer
   x = 226,117.29