Finding the Third Proportional to 105,913 and 156,405

Step by Step Solution

1. Step 1: Write the proportion equation
   105,913 : 156,405 = 156,405 : x
2. Step 2: Convert to fraction form
   105,913/156,405 = 156,405/x
3. Step 3: Cross multiply
   105,913x = 156,405 × 156,405
4. Step 4: Simplify right side
   105,913x = 24,462,524,025
5. Step 5: Solve for x
   x = 24,462,524,025/105,913
6. Step 6: Final answer
   x = 230,968.10