Finding the Third Proportional to 116,581 and 174,872

Step by Step Solution

1. Step 1: Write the proportion equation
   116,581 : 174,872 = 174,872 : x
2. Step 2: Convert to fraction form
   116,581/174,872 = 174,872/x
3. Step 3: Cross multiply
   116,581x = 174,872 × 174,872
4. Step 4: Simplify right side
   116,581x = 30,580,216,384
5. Step 5: Solve for x
   x = 30,580,216,384/116,581
6. Step 6: Final answer
   x = 262,308.75