Finding the Third Proportional to 116,160 and 174,256

Step by Step Solution

1. Step 1: Write the proportion equation
   116,160 : 174,256 = 174,256 : x
2. Step 2: Convert to fraction form
   116,160/174,256 = 174,256/x
3. Step 3: Cross multiply
   116,160x = 174,256 × 174,256
4. Step 4: Simplify right side
   116,160x = 30,365,153,536
5. Step 5: Solve for x
   x = 30,365,153,536/116,160
6. Step 6: Final answer
   x = 261,408.00