Finding the Third Proportional to 114,608.25 and 243,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   114,608.25 : 243,978.75 = 243,978.75 : x
2. Step 2: Convert to fraction form
   114,608.25/243,978.75 = 243,978.75/x
3. Step 3: Cross multiply
   114,608.25x = 243,978.75 × 243,978.75
4. Step 4: Simplify right side
   114,608.25x = 59,525,630,451.56
5. Step 5: Solve for x
   x = 59,525,630,451.56/114,608.25
6. Step 6: Final answer
   x = 519,383.47