Finding the Third Proportional to 116,916 and 253,508

Step by Step Solution

1. Step 1: Write the proportion equation
   116,916 : 253,508 = 253,508 : x
2. Step 2: Convert to fraction form
   116,916/253,508 = 253,508/x
3. Step 3: Cross multiply
   116,916x = 253,508 × 253,508
4. Step 4: Simplify right side
   116,916x = 64,266,306,064
5. Step 5: Solve for x
   x = 64,266,306,064/116,916
6. Step 6: Final answer
   x = 549,679.31