Finding the Third Proportional to 146,390 and 214,004

Step by Step Solution

1. Step 1: Write the proportion equation
   146,390 : 214,004 = 214,004 : x
2. Step 2: Convert to fraction form
   146,390/214,004 = 214,004/x
3. Step 3: Cross multiply
   146,390x = 214,004 × 214,004
4. Step 4: Simplify right side
   146,390x = 45,797,712,016
5. Step 5: Solve for x
   x = 45,797,712,016/146,390
6. Step 6: Final answer
   x = 312,847.27