Finding the Third Proportional to 116,107 and 254,358

Step by Step Solution

1. Step 1: Write the proportion equation
   116,107 : 254,358 = 254,358 : x
2. Step 2: Convert to fraction form
   116,107/254,358 = 254,358/x
3. Step 3: Cross multiply
   116,107x = 254,358 × 254,358
4. Step 4: Simplify right side
   116,107x = 64,697,992,164
5. Step 5: Solve for x
   x = 64,697,992,164/116,107
6. Step 6: Final answer
   x = 557,227.32