Finding the Third Proportional to 140,709 and 210,819

Step by Step Solution

1. Step 1: Write the proportion equation
   140,709 : 210,819 = 210,819 : x
2. Step 2: Convert to fraction form
   140,709/210,819 = 210,819/x
3. Step 3: Cross multiply
   140,709x = 210,819 × 210,819
4. Step 4: Simplify right side
   140,709x = 44,444,650,761
5. Step 5: Solve for x
   x = 44,444,650,761/140,709
6. Step 6: Final answer
   x = 315,862.17