Finding the Third Proportional to 368,697 and 586,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   368,697 : 586,255.50 = 586,255.50 : x
2. Step 2: Convert to fraction form
   368,697/586,255.50 = 586,255.50/x
3. Step 3: Cross multiply
   368,697x = 586,255.50 × 586,255.50
4. Step 4: Simplify right side
   368,697x = 343,695,511,280.25
5. Step 5: Solve for x
   x = 343,695,511,280.25/368,697
6. Step 6: Final answer
   x = 932,189.61