Finding the Third Proportional to 118,224 and 262,692

Step by Step Solution

1. Step 1: Write the proportion equation
   118,224 : 262,692 = 262,692 : x
2. Step 2: Convert to fraction form
   118,224/262,692 = 262,692/x
3. Step 3: Cross multiply
   118,224x = 262,692 × 262,692
4. Step 4: Simplify right side
   118,224x = 69,007,086,864
5. Step 5: Solve for x
   x = 69,007,086,864/118,224
6. Step 6: Final answer
   x = 583,697.78