Finding the Third Proportional to 116,676 and 254,470

Step by Step Solution

1. Step 1: Write the proportion equation
   116,676 : 254,470 = 254,470 : x
2. Step 2: Convert to fraction form
   116,676/254,470 = 254,470/x
3. Step 3: Cross multiply
   116,676x = 254,470 × 254,470
4. Step 4: Simplify right side
   116,676x = 64,754,980,900
5. Step 5: Solve for x
   x = 64,754,980,900/116,676
6. Step 6: Final answer
   x = 554,998.29