Finding the Third Proportional to 150,868 and 314,132

Step by Step Solution

1. Step 1: Write the proportion equation
   150,868 : 314,132 = 314,132 : x
2. Step 2: Convert to fraction form
   150,868/314,132 = 314,132/x
3. Step 3: Cross multiply
   150,868x = 314,132 × 314,132
4. Step 4: Simplify right side
   150,868x = 98,678,913,424
5. Step 5: Solve for x
   x = 98,678,913,424/150,868
6. Step 6: Final answer
   x = 654,074.51