Finding the Third Proportional to 114,112 and 262,352

Step by Step Solution

1. Step 1: Write the proportion equation
   114,112 : 262,352 = 262,352 : x
2. Step 2: Convert to fraction form
   114,112/262,352 = 262,352/x
3. Step 3: Cross multiply
   114,112x = 262,352 × 262,352
4. Step 4: Simplify right side
   114,112x = 68,828,571,904
5. Step 5: Solve for x
   x = 68,828,571,904/114,112
6. Step 6: Final answer
   x = 603,166.82