Finding the Third Proportional to 117,714 and 256,446.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,714 : 256,446.75 = 256,446.75 : x
2. Step 2: Convert to fraction form
   117,714/256,446.75 = 256,446.75/x
3. Step 3: Cross multiply
   117,714x = 256,446.75 × 256,446.75
4. Step 4: Simplify right side
   117,714x = 65,764,935,585.56
5. Step 5: Solve for x
   x = 65,764,935,585.56/117,714
6. Step 6: Final answer
   x = 558,684.06