Finding the Third Proportional to 51,837.50 and 109,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,837.50 : 109,208.50 = 109,208.50 : x
2. Step 2: Convert to fraction form
   51,837.50/109,208.50 = 109,208.50/x
3. Step 3: Cross multiply
   51,837.50x = 109,208.50 × 109,208.50
4. Step 4: Simplify right side
   51,837.50x = 11,926,496,472.25
5. Step 5: Solve for x
   x = 11,926,496,472.25/51,837.50
6. Step 6: Final answer
   x = 230,074.68