Finding the Third Proportional to 181,096.50 and 274,656

Step by Step Solution

1. Step 1: Write the proportion equation
   181,096.50 : 274,656 = 274,656 : x
2. Step 2: Convert to fraction form
   181,096.50/274,656 = 274,656/x
3. Step 3: Cross multiply
   181,096.50x = 274,656 × 274,656
4. Step 4: Simplify right side
   181,096.50x = 75,435,918,336
5. Step 5: Solve for x
   x = 75,435,918,336/181,096.50
6. Step 6: Final answer
   x = 416,550.95