Finding the Third Proportional to 116,408 and 175,596

Step by Step Solution

1. Step 1: Write the proportion equation
   116,408 : 175,596 = 175,596 : x
2. Step 2: Convert to fraction form
   116,408/175,596 = 175,596/x
3. Step 3: Cross multiply
   116,408x = 175,596 × 175,596
4. Step 4: Simplify right side
   116,408x = 30,833,955,216
5. Step 5: Solve for x
   x = 30,833,955,216/116,408
6. Step 6: Final answer
   x = 264,878.32