Finding the Third Proportional to 112,944 and 262,592

Step by Step Solution

1. Step 1: Write the proportion equation
   112,944 : 262,592 = 262,592 : x
2. Step 2: Convert to fraction form
   112,944/262,592 = 262,592/x
3. Step 3: Cross multiply
   112,944x = 262,592 × 262,592
4. Step 4: Simplify right side
   112,944x = 68,954,558,464
5. Step 5: Solve for x
   x = 68,954,558,464/112,944
6. Step 6: Final answer
   x = 610,519.89