Finding the Third Proportional to 116,656 and 175,090

Step by Step Solution

1. Step 1: Write the proportion equation
   116,656 : 175,090 = 175,090 : x
2. Step 2: Convert to fraction form
   116,656/175,090 = 175,090/x
3. Step 3: Cross multiply
   116,656x = 175,090 × 175,090
4. Step 4: Simplify right side
   116,656x = 30,656,508,100
5. Step 5: Solve for x
   x = 30,656,508,100/116,656
6. Step 6: Final answer
   x = 262,794.10