Finding the Third Proportional to 116,512 and 254,830

Step by Step Solution

1. Step 1: Write the proportion equation
   116,512 : 254,830 = 254,830 : x
2. Step 2: Convert to fraction form
   116,512/254,830 = 254,830/x
3. Step 3: Cross multiply
   116,512x = 254,830 × 254,830
4. Step 4: Simplify right side
   116,512x = 64,938,328,900
5. Step 5: Solve for x
   x = 64,938,328,900/116,512
6. Step 6: Final answer
   x = 557,353.14