Finding the Third Proportional to 227,280 and 338,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   227,280 : 338,947.50 = 338,947.50 : x
2. Step 2: Convert to fraction form
   227,280/338,947.50 = 338,947.50/x
3. Step 3: Cross multiply
   227,280x = 338,947.50 × 338,947.50
4. Step 4: Simplify right side
   227,280x = 114,885,407,756.25
5. Step 5: Solve for x
   x = 114,885,407,756.25/227,280
6. Step 6: Final answer
   x = 505,479.62