Finding the Third Proportional to 319,062 and 500,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,062 : 500,584.50 = 500,584.50 : x
2. Step 2: Convert to fraction form
   319,062/500,584.50 = 500,584.50/x
3. Step 3: Cross multiply
   319,062x = 500,584.50 × 500,584.50
4. Step 4: Simplify right side
   319,062x = 250,584,841,640.25
5. Step 5: Solve for x
   x = 250,584,841,640.25/319,062
6. Step 6: Final answer
   x = 785,379.77