Finding the Third Proportional to 110,415 and 238,314

Step by Step Solution

1. Step 1: Write the proportion equation
   110,415 : 238,314 = 238,314 : x
2. Step 2: Convert to fraction form
   110,415/238,314 = 238,314/x
3. Step 3: Cross multiply
   110,415x = 238,314 × 238,314
4. Step 4: Simplify right side
   110,415x = 56,793,562,596
5. Step 5: Solve for x
   x = 56,793,562,596/110,415
6. Step 6: Final answer
   x = 514,364.56