Finding the Third Proportional to 110,224 and 238,780

Step by Step Solution

1. Step 1: Write the proportion equation
   110,224 : 238,780 = 238,780 : x
2. Step 2: Convert to fraction form
   110,224/238,780 = 238,780/x
3. Step 3: Cross multiply
   110,224x = 238,780 × 238,780
4. Step 4: Simplify right side
   110,224x = 57,015,888,400
5. Step 5: Solve for x
   x = 57,015,888,400/110,224
6. Step 6: Final answer
   x = 517,272.90