Finding the Third Proportional to 116,976 and 174,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,976 : 174,684.50 = 174,684.50 : x
2. Step 2: Convert to fraction form
   116,976/174,684.50 = 174,684.50/x
3. Step 3: Cross multiply
   116,976x = 174,684.50 × 174,684.50
4. Step 4: Simplify right side
   116,976x = 30,514,674,540.25
5. Step 5: Solve for x
   x = 30,514,674,540.25/116,976
6. Step 6: Final answer
   x = 260,862.69