Finding the Third Proportional to 109,410.75 and 233,978.63

Step by Step Solution

1. Step 1: Write the proportion equation
   109,410.75 : 233,978.63 = 233,978.63 : x
2. Step 2: Convert to fraction form
   109,410.75/233,978.63 = 233,978.63/x
3. Step 3: Cross multiply
   109,410.75x = 233,978.63 × 233,978.63
4. Step 4: Simplify right side
   109,410.75x = 54,745,996,956.89
5. Step 5: Solve for x
   x = 54,745,996,956.89/109,410.75
6. Step 6: Final answer
   x = 500,371.28