Finding the Third Proportional to 150,858 and 312,150

Step by Step Solution

1. Step 1: Write the proportion equation
   150,858 : 312,150 = 312,150 : x
2. Step 2: Convert to fraction form
   150,858/312,150 = 312,150/x
3. Step 3: Cross multiply
   150,858x = 312,150 × 312,150
4. Step 4: Simplify right side
   150,858x = 97,437,622,500
5. Step 5: Solve for x
   x = 97,437,622,500/150,858
6. Step 6: Final answer
   x = 645,889.66