Finding the Third Proportional to 116,465 and 175,805

Step by Step Solution

1. Step 1: Write the proportion equation
   116,465 : 175,805 = 175,805 : x
2. Step 2: Convert to fraction form
   116,465/175,805 = 175,805/x
3. Step 3: Cross multiply
   116,465x = 175,805 × 175,805
4. Step 4: Simplify right side
   116,465x = 30,907,398,025
5. Step 5: Solve for x
   x = 30,907,398,025/116,465
6. Step 6: Final answer
   x = 265,379.28