Finding the Third Proportional to 116,660 and 174,956

Step by Step Solution

1. Step 1: Write the proportion equation
   116,660 : 174,956 = 174,956 : x
2. Step 2: Convert to fraction form
   116,660/174,956 = 174,956/x
3. Step 3: Cross multiply
   116,660x = 174,956 × 174,956
4. Step 4: Simplify right side
   116,660x = 30,609,601,936
5. Step 5: Solve for x
   x = 30,609,601,936/116,660
6. Step 6: Final answer
   x = 262,383.01