Finding the Third Proportional to 140,224 and 210,128

Step by Step Solution

1. Step 1: Write the proportion equation
   140,224 : 210,128 = 210,128 : x
2. Step 2: Convert to fraction form
   140,224/210,128 = 210,128/x
3. Step 3: Cross multiply
   140,224x = 210,128 × 210,128
4. Step 4: Simplify right side
   140,224x = 44,153,776,384
5. Step 5: Solve for x
   x = 44,153,776,384/140,224
6. Step 6: Final answer
   x = 314,880.31