Finding the Third Proportional to 116,833 and 175,054

Step by Step Solution

1. Step 1: Write the proportion equation
   116,833 : 175,054 = 175,054 : x
2. Step 2: Convert to fraction form
   116,833/175,054 = 175,054/x
3. Step 3: Cross multiply
   116,833x = 175,054 × 175,054
4. Step 4: Simplify right side
   116,833x = 30,643,902,916
5. Step 5: Solve for x
   x = 30,643,902,916/116,833
6. Step 6: Final answer
   x = 262,288.08