Finding the Third Proportional to 238,434 and 334,185

Step by Step Solution

1. Step 1: Write the proportion equation
   238,434 : 334,185 = 334,185 : x
2. Step 2: Convert to fraction form
   238,434/334,185 = 334,185/x
3. Step 3: Cross multiply
   238,434x = 334,185 × 334,185
4. Step 4: Simplify right side
   238,434x = 111,679,614,225
5. Step 5: Solve for x
   x = 111,679,614,225/238,434
6. Step 6: Final answer
   x = 468,387.96