Finding the Third Proportional to 117,814 and 256,364

Step by Step Solution

1. Step 1: Write the proportion equation
   117,814 : 256,364 = 256,364 : x
2. Step 2: Convert to fraction form
   117,814/256,364 = 256,364/x
3. Step 3: Cross multiply
   117,814x = 256,364 × 256,364
4. Step 4: Simplify right side
   117,814x = 65,722,500,496
5. Step 5: Solve for x
   x = 65,722,500,496/117,814
6. Step 6: Final answer
   x = 557,849.67