Finding the Third Proportional to 116,609 and 251,650

Step by Step Solution

1. Step 1: Write the proportion equation
   116,609 : 251,650 = 251,650 : x
2. Step 2: Convert to fraction form
   116,609/251,650 = 251,650/x
3. Step 3: Cross multiply
   116,609x = 251,650 × 251,650
4. Step 4: Simplify right side
   116,609x = 63,327,722,500
5. Step 5: Solve for x
   x = 63,327,722,500/116,609
6. Step 6: Final answer
   x = 543,077.49