Finding the Third Proportional to 146,819 and 210,004

Step by Step Solution

1. Step 1: Write the proportion equation
   146,819 : 210,004 = 210,004 : x
2. Step 2: Convert to fraction form
   146,819/210,004 = 210,004/x
3. Step 3: Cross multiply
   146,819x = 210,004 × 210,004
4. Step 4: Simplify right side
   146,819x = 44,101,680,016
5. Step 5: Solve for x
   x = 44,101,680,016/146,819
6. Step 6: Final answer
   x = 300,381.29