Finding the Third Proportional to 150,869 and 314,139

Step by Step Solution

1. Step 1: Write the proportion equation
   150,869 : 314,139 = 314,139 : x
2. Step 2: Convert to fraction form
   150,869/314,139 = 314,139/x
3. Step 3: Cross multiply
   150,869x = 314,139 × 314,139
4. Step 4: Simplify right side
   150,869x = 98,683,311,321
5. Step 5: Solve for x
   x = 98,683,311,321/150,869
6. Step 6: Final answer
   x = 654,099.33