Finding the Third Proportional to 107,709.50 and 230,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,709.50 : 230,080.50 = 230,080.50 : x
2. Step 2: Convert to fraction form
   107,709.50/230,080.50 = 230,080.50/x
3. Step 3: Cross multiply
   107,709.50x = 230,080.50 × 230,080.50
4. Step 4: Simplify right side
   107,709.50x = 52,937,036,480.25
5. Step 5: Solve for x
   x = 52,937,036,480.25/107,709.50
6. Step 6: Final answer
   x = 491,479.73