Finding the Third Proportional to 213,016 and 334,152

Step by Step Solution

1. Step 1: Write the proportion equation
   213,016 : 334,152 = 334,152 : x
2. Step 2: Convert to fraction form
   213,016/334,152 = 334,152/x
3. Step 3: Cross multiply
   213,016x = 334,152 × 334,152
4. Step 4: Simplify right side
   213,016x = 111,657,559,104
5. Step 5: Solve for x
   x = 111,657,559,104/213,016
6. Step 6: Final answer
   x = 524,174.52