Finding the Third Proportional to 116,616.50 and 174,890

Step by Step Solution

1. Step 1: Write the proportion equation
   116,616.50 : 174,890 = 174,890 : x
2. Step 2: Convert to fraction form
   116,616.50/174,890 = 174,890/x
3. Step 3: Cross multiply
   116,616.50x = 174,890 × 174,890
4. Step 4: Simplify right side
   116,616.50x = 30,586,512,100
5. Step 5: Solve for x
   x = 30,586,512,100/116,616.50
6. Step 6: Final answer
   x = 262,282.89