Finding the Third Proportional to 111,343 and 262,572

Step by Step Solution

1. Step 1: Write the proportion equation
   111,343 : 262,572 = 262,572 : x
2. Step 2: Convert to fraction form
   111,343/262,572 = 262,572/x
3. Step 3: Cross multiply
   111,343x = 262,572 × 262,572
4. Step 4: Simplify right side
   111,343x = 68,944,055,184
5. Step 5: Solve for x
   x = 68,944,055,184/111,343
6. Step 6: Final answer
   x = 619,204.22