Finding the Third Proportional to 57,786.75 and 120,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,786.75 : 120,109.50 = 120,109.50 : x
2. Step 2: Convert to fraction form
   57,786.75/120,109.50 = 120,109.50/x
3. Step 3: Cross multiply
   57,786.75x = 120,109.50 × 120,109.50
4. Step 4: Simplify right side
   57,786.75x = 14,426,291,990.25
5. Step 5: Solve for x
   x = 14,426,291,990.25/57,786.75
6. Step 6: Final answer
   x = 249,647.06