Finding the Third Proportional to 111,232 and 227,584

Step by Step Solution

1. Step 1: Write the proportion equation
   111,232 : 227,584 = 227,584 : x
2. Step 2: Convert to fraction form
   111,232/227,584 = 227,584/x
3. Step 3: Cross multiply
   111,232x = 227,584 × 227,584
4. Step 4: Simplify right side
   111,232x = 51,794,477,056
5. Step 5: Solve for x
   x = 51,794,477,056/111,232
6. Step 6: Final answer
   x = 465,643.67