Finding the Third Proportional to 116,841 and 175,068

Step by Step Solution

1. Step 1: Write the proportion equation
   116,841 : 175,068 = 175,068 : x
2. Step 2: Convert to fraction form
   116,841/175,068 = 175,068/x
3. Step 3: Cross multiply
   116,841x = 175,068 × 175,068
4. Step 4: Simplify right side
   116,841x = 30,648,804,624
5. Step 5: Solve for x
   x = 30,648,804,624/116,841
6. Step 6: Final answer
   x = 262,312.07