Finding the Third Proportional to 116,555 and 174,114

Step by Step Solution

1. Step 1: Write the proportion equation
   116,555 : 174,114 = 174,114 : x
2. Step 2: Convert to fraction form
   116,555/174,114 = 174,114/x
3. Step 3: Cross multiply
   116,555x = 174,114 × 174,114
4. Step 4: Simplify right side
   116,555x = 30,315,684,996
5. Step 5: Solve for x
   x = 30,315,684,996/116,555
6. Step 6: Final answer
   x = 260,097.68