Finding the Third Proportional to 105,069.75 and 233,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,069.75 : 233,467.50 = 233,467.50 : x
2. Step 2: Convert to fraction form
   105,069.75/233,467.50 = 233,467.50/x
3. Step 3: Cross multiply
   105,069.75x = 233,467.50 × 233,467.50
4. Step 4: Simplify right side
   105,069.75x = 54,507,073,556.25
5. Step 5: Solve for x
   x = 54,507,073,556.25/105,069.75
6. Step 6: Final answer
   x = 518,770.37