Finding the Third Proportional to 140,046 and 210,172

Step by Step Solution

1. Step 1: Write the proportion equation
   140,046 : 210,172 = 210,172 : x
2. Step 2: Convert to fraction form
   140,046/210,172 = 210,172/x
3. Step 3: Cross multiply
   140,046x = 210,172 × 210,172
4. Step 4: Simplify right side
   140,046x = 44,172,269,584
5. Step 5: Solve for x
   x = 44,172,269,584/140,046
6. Step 6: Final answer
   x = 315,412.58