Finding the Third Proportional to 113,196 and 255,582

Step by Step Solution

1. Step 1: Write the proportion equation
   113,196 : 255,582 = 255,582 : x
2. Step 2: Convert to fraction form
   113,196/255,582 = 255,582/x
3. Step 3: Cross multiply
   113,196x = 255,582 × 255,582
4. Step 4: Simplify right side
   113,196x = 65,322,158,724
5. Step 5: Solve for x
   x = 65,322,158,724/113,196
6. Step 6: Final answer
   x = 577,071.26