Finding the Third Proportional to 140,115 and 210,314

Step by Step Solution

1. Step 1: Write the proportion equation
   140,115 : 210,314 = 210,314 : x
2. Step 2: Convert to fraction form
   140,115/210,314 = 210,314/x
3. Step 3: Cross multiply
   140,115x = 210,314 × 210,314
4. Step 4: Simplify right side
   140,115x = 44,231,978,596
5. Step 5: Solve for x
   x = 44,231,978,596/140,115
6. Step 6: Final answer
   x = 315,683.39