Finding the Third Proportional to 227,978.25 and 342,089.25

Step by Step Solution

1. Step 1: Write the proportion equation
   227,978.25 : 342,089.25 = 342,089.25 : x
2. Step 2: Convert to fraction form
   227,978.25/342,089.25 = 342,089.25/x
3. Step 3: Cross multiply
   227,978.25x = 342,089.25 × 342,089.25
4. Step 4: Simplify right side
   227,978.25x = 117,025,054,965.56
5. Step 5: Solve for x
   x = 117,025,054,965.56/227,978.25
6. Step 6: Final answer
   x = 513,316.75