Finding the Third Proportional to 116,589 and 175,316

Step by Step Solution

1. Step 1: Write the proportion equation
   116,589 : 175,316 = 175,316 : x
2. Step 2: Convert to fraction form
   116,589/175,316 = 175,316/x
3. Step 3: Cross multiply
   116,589x = 175,316 × 175,316
4. Step 4: Simplify right side
   116,589x = 30,735,699,856
5. Step 5: Solve for x
   x = 30,735,699,856/116,589
6. Step 6: Final answer
   x = 263,624.35