Finding the Third Proportional to 116,423 and 175,314

Step by Step Solution

1. Step 1: Write the proportion equation
   116,423 : 175,314 = 175,314 : x
2. Step 2: Convert to fraction form
   116,423/175,314 = 175,314/x
3. Step 3: Cross multiply
   116,423x = 175,314 × 175,314
4. Step 4: Simplify right side
   116,423x = 30,734,998,596
5. Step 5: Solve for x
   x = 30,734,998,596/116,423
6. Step 6: Final answer
   x = 263,994.22