Finding the Third Proportional to 150,933.50 and 314,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,933.50 : 314,269.50 = 314,269.50 : x
2. Step 2: Convert to fraction form
   150,933.50/314,269.50 = 314,269.50/x
3. Step 3: Cross multiply
   150,933.50x = 314,269.50 × 314,269.50
4. Step 4: Simplify right side
   150,933.50x = 98,765,318,630.25
5. Step 5: Solve for x
   x = 98,765,318,630.25/150,933.50
6. Step 6: Final answer
   x = 654,363.14