Finding the Third Proportional to 377,998.50 and 584,860.50

Step by Step Solution

1. Step 1: Write the proportion equation
   377,998.50 : 584,860.50 = 584,860.50 : x
2. Step 2: Convert to fraction form
   377,998.50/584,860.50 = 584,860.50/x
3. Step 3: Cross multiply
   377,998.50x = 584,860.50 × 584,860.50
4. Step 4: Simplify right side
   377,998.50x = 342,061,804,460.25
5. Step 5: Solve for x
   x = 342,061,804,460.25/377,998.50
6. Step 6: Final answer
   x = 904,929.00