Finding the Third Proportional to 116,976 and 174,685

Step by Step Solution

1. Step 1: Write the proportion equation
   116,976 : 174,685 = 174,685 : x
2. Step 2: Convert to fraction form
   116,976/174,685 = 174,685/x
3. Step 3: Cross multiply
   116,976x = 174,685 × 174,685
4. Step 4: Simplify right side
   116,976x = 30,514,849,225
5. Step 5: Solve for x
   x = 30,514,849,225/116,976
6. Step 6: Final answer
   x = 260,864.19