Finding the Third Proportional to 116,510 and 254,825

Step by Step Solution

1. Step 1: Write the proportion equation
   116,510 : 254,825 = 254,825 : x
2. Step 2: Convert to fraction form
   116,510/254,825 = 254,825/x
3. Step 3: Cross multiply
   116,510x = 254,825 × 254,825
4. Step 4: Simplify right side
   116,510x = 64,935,780,625
5. Step 5: Solve for x
   x = 64,935,780,625/116,510
6. Step 6: Final answer
   x = 557,340.83