Finding the Third Proportional to 205,344 and 307,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,344 : 307,180.50 = 307,180.50 : x
2. Step 2: Convert to fraction form
   205,344/307,180.50 = 307,180.50/x
3. Step 3: Cross multiply
   205,344x = 307,180.50 × 307,180.50
4. Step 4: Simplify right side
   205,344x = 94,359,859,580.25
5. Step 5: Solve for x
   x = 94,359,859,580.25/205,344
6. Step 6: Final answer
   x = 459,520.90