Finding the Third Proportional to 116,641 and 174,930

Step by Step Solution

1. Step 1: Write the proportion equation
   116,641 : 174,930 = 174,930 : x
2. Step 2: Convert to fraction form
   116,641/174,930 = 174,930/x
3. Step 3: Cross multiply
   116,641x = 174,930 × 174,930
4. Step 4: Simplify right side
   116,641x = 30,600,504,900
5. Step 5: Solve for x
   x = 30,600,504,900/116,641
6. Step 6: Final answer
   x = 262,347.76