Finding the Third Proportional to 227,997.50 and 340,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   227,997.50 : 340,719.50 = 340,719.50 : x
2. Step 2: Convert to fraction form
   227,997.50/340,719.50 = 340,719.50/x
3. Step 3: Cross multiply
   227,997.50x = 340,719.50 × 340,719.50
4. Step 4: Simplify right side
   227,997.50x = 116,089,777,680.25
5. Step 5: Solve for x
   x = 116,089,777,680.25/227,997.50
6. Step 6: Final answer
   x = 509,171.27