Finding the Third Proportional to 150,800 and 314,002

Step by Step Solution

1. Step 1: Write the proportion equation
   150,800 : 314,002 = 314,002 : x
2. Step 2: Convert to fraction form
   150,800/314,002 = 314,002/x
3. Step 3: Cross multiply
   150,800x = 314,002 × 314,002
4. Step 4: Simplify right side
   150,800x = 98,597,256,004
5. Step 5: Solve for x
   x = 98,597,256,004/150,800
6. Step 6: Final answer
   x = 653,827.96