Finding the Third Proportional to 150,865 and 314,126

Step by Step Solution

1. Step 1: Write the proportion equation
   150,865 : 314,126 = 314,126 : x
2. Step 2: Convert to fraction form
   150,865/314,126 = 314,126/x
3. Step 3: Cross multiply
   150,865x = 314,126 × 314,126
4. Step 4: Simplify right side
   150,865x = 98,675,143,876
5. Step 5: Solve for x
   x = 98,675,143,876/150,865
6. Step 6: Final answer
   x = 654,062.53