Finding the Third Proportional to 114,816 and 174,654

Step by Step Solution

1. Step 1: Write the proportion equation
   114,816 : 174,654 = 174,654 : x
2. Step 2: Convert to fraction form
   114,816/174,654 = 174,654/x
3. Step 3: Cross multiply
   114,816x = 174,654 × 174,654
4. Step 4: Simplify right side
   114,816x = 30,504,019,716
5. Step 5: Solve for x
   x = 30,504,019,716/114,816
6. Step 6: Final answer
   x = 265,677.43