Finding the Third Proportional to 116,516 and 254,200

Step by Step Solution

1. Step 1: Write the proportion equation
   116,516 : 254,200 = 254,200 : x
2. Step 2: Convert to fraction form
   116,516/254,200 = 254,200/x
3. Step 3: Cross multiply
   116,516x = 254,200 × 254,200
4. Step 4: Simplify right side
   116,516x = 64,617,640,000
5. Step 5: Solve for x
   x = 64,617,640,000/116,516
6. Step 6: Final answer
   x = 554,581.69