Finding the Third Proportional to 110,424.75 and 238,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,424.75 : 238,507.50 = 238,507.50 : x
2. Step 2: Convert to fraction form
   110,424.75/238,507.50 = 238,507.50/x
3. Step 3: Cross multiply
   110,424.75x = 238,507.50 × 238,507.50
4. Step 4: Simplify right side
   110,424.75x = 56,885,827,556.25
5. Step 5: Solve for x
   x = 56,885,827,556.25/110,424.75
6. Step 6: Final answer
   x = 515,154.69