Finding the Third Proportional to 110,880 and 229,632.75

Step by Step Solution

1. Step 1: Write the proportion equation
   110,880 : 229,632.75 = 229,632.75 : x
2. Step 2: Convert to fraction form
   110,880/229,632.75 = 229,632.75/x
3. Step 3: Cross multiply
   110,880x = 229,632.75 × 229,632.75
4. Step 4: Simplify right side
   110,880x = 52,731,199,872.56
5. Step 5: Solve for x
   x = 52,731,199,872.56/110,880
6. Step 6: Final answer
   x = 475,569.98