Finding the Third Proportional to 105,916 and 156,408

Step by Step Solution

1. Step 1: Write the proportion equation
   105,916 : 156,408 = 156,408 : x
2. Step 2: Convert to fraction form
   105,916/156,408 = 156,408/x
3. Step 3: Cross multiply
   105,916x = 156,408 × 156,408
4. Step 4: Simplify right side
   105,916x = 24,463,462,464
5. Step 5: Solve for x
   x = 24,463,462,464/105,916
6. Step 6: Final answer
   x = 230,970.41