Finding the Third Proportional to 116,466 and 175,806

Step by Step Solution

1. Step 1: Write the proportion equation
   116,466 : 175,806 = 175,806 : x
2. Step 2: Convert to fraction form
   116,466/175,806 = 175,806/x
3. Step 3: Cross multiply
   116,466x = 175,806 × 175,806
4. Step 4: Simplify right side
   116,466x = 30,907,749,636
5. Step 5: Solve for x
   x = 30,907,749,636/116,466
6. Step 6: Final answer
   x = 265,380.02