Finding the Third Proportional to 109,057.50 and 235,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,057.50 : 235,300.50 = 235,300.50 : x
2. Step 2: Convert to fraction form
   109,057.50/235,300.50 = 235,300.50/x
3. Step 3: Cross multiply
   109,057.50x = 235,300.50 × 235,300.50
4. Step 4: Simplify right side
   109,057.50x = 55,366,325,300.25
5. Step 5: Solve for x
   x = 55,366,325,300.25/109,057.50
6. Step 6: Final answer
   x = 507,680.13