Finding the Third Proportional to 338,619 and 506,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338,619 : 506,269.50 = 506,269.50 : x
2. Step 2: Convert to fraction form
   338,619/506,269.50 = 506,269.50/x
3. Step 3: Cross multiply
   338,619x = 506,269.50 × 506,269.50
4. Step 4: Simplify right side
   338,619x = 256,308,806,630.25
5. Step 5: Solve for x
   x = 256,308,806,630.25/338,619
6. Step 6: Final answer
   x = 756,923.88