Finding the Third Proportional to 116,142 and 254,416

Step by Step Solution

1. Step 1: Write the proportion equation
   116,142 : 254,416 = 254,416 : x
2. Step 2: Convert to fraction form
   116,142/254,416 = 254,416/x
3. Step 3: Cross multiply
   116,142x = 254,416 × 254,416
4. Step 4: Simplify right side
   116,142x = 64,727,501,056
5. Step 5: Solve for x
   x = 64,727,501,056/116,142
6. Step 6: Final answer
   x = 557,313.47