Finding the Third Proportional to 116,569 and 174,955

Step by Step Solution

1. Step 1: Write the proportion equation
   116,569 : 174,955 = 174,955 : x
2. Step 2: Convert to fraction form
   116,569/174,955 = 174,955/x
3. Step 3: Cross multiply
   116,569x = 174,955 × 174,955
4. Step 4: Simplify right side
   116,569x = 30,609,252,025
5. Step 5: Solve for x
   x = 30,609,252,025/116,569
6. Step 6: Final answer
   x = 262,584.84