Finding the Third Proportional to 227,278.50 and 338,946

Step by Step Solution

1. Step 1: Write the proportion equation
   227,278.50 : 338,946 = 338,946 : x
2. Step 2: Convert to fraction form
   227,278.50/338,946 = 338,946/x
3. Step 3: Cross multiply
   227,278.50x = 338,946 × 338,946
4. Step 4: Simplify right side
   227,278.50x = 114,884,390,916
5. Step 5: Solve for x
   x = 114,884,390,916/227,278.50
6. Step 6: Final answer
   x = 505,478.48