Finding the Third Proportional to 385,341 and 613,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   385,341 : 613,684.50 = 613,684.50 : x
2. Step 2: Convert to fraction form
   385,341/613,684.50 = 613,684.50/x
3. Step 3: Cross multiply
   385,341x = 613,684.50 × 613,684.50
4. Step 4: Simplify right side
   385,341x = 376,608,665,540.25
5. Step 5: Solve for x
   x = 376,608,665,540.25/385,341
6. Step 6: Final answer
   x = 977,338.68