Finding the Third Proportional to 150,709.50 and 210,714

Step by Step Solution

1. Step 1: Write the proportion equation
   150,709.50 : 210,714 = 210,714 : x
2. Step 2: Convert to fraction form
   150,709.50/210,714 = 210,714/x
3. Step 3: Cross multiply
   150,709.50x = 210,714 × 210,714
4. Step 4: Simplify right side
   150,709.50x = 44,400,389,796
5. Step 5: Solve for x
   x = 44,400,389,796/150,709.50
6. Step 6: Final answer
   x = 294,609.10