Finding the Third Proportional to 238,518 and 334,314

Step by Step Solution

1. Step 1: Write the proportion equation
   238,518 : 334,314 = 334,314 : x
2. Step 2: Convert to fraction form
   238,518/334,314 = 334,314/x
3. Step 3: Cross multiply
   238,518x = 334,314 × 334,314
4. Step 4: Simplify right side
   238,518x = 111,765,850,596
5. Step 5: Solve for x
   x = 111,765,850,596/238,518
6. Step 6: Final answer
   x = 468,584.55