Finding the Third Proportional to 49,457 and 116,699

Step by Step Solution

1. Step 1: Write the proportion equation
   49,457 : 116,699 = 116,699 : x
2. Step 2: Convert to fraction form
   49,457/116,699 = 116,699/x
3. Step 3: Cross multiply
   49,457x = 116,699 × 116,699
4. Step 4: Simplify right side
   49,457x = 13,618,656,601
5. Step 5: Solve for x
   x = 13,618,656,601/49,457
6. Step 6: Final answer
   x = 275,363.58