Finding the Third Proportional to 109,536 and 235,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,536 : 235,675.50 = 235,675.50 : x
2. Step 2: Convert to fraction form
   109,536/235,675.50 = 235,675.50/x
3. Step 3: Cross multiply
   109,536x = 235,675.50 × 235,675.50
4. Step 4: Simplify right side
   109,536x = 55,542,941,300.25
5. Step 5: Solve for x
   x = 55,542,941,300.25/109,536
6. Step 6: Final answer
   x = 507,074.76