Finding the Third Proportional to 116,500 and 254,808

Step by Step Solution

1. Step 1: Write the proportion equation
   116,500 : 254,808 = 254,808 : x
2. Step 2: Convert to fraction form
   116,500/254,808 = 254,808/x
3. Step 3: Cross multiply
   116,500x = 254,808 × 254,808
4. Step 4: Simplify right side
   116,500x = 64,927,116,864
5. Step 5: Solve for x
   x = 64,927,116,864/116,500
6. Step 6: Final answer
   x = 557,314.31