Finding the Third Proportional to 55,969.50 and 120,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,969.50 : 120,799.50 = 120,799.50 : x
2. Step 2: Convert to fraction form
   55,969.50/120,799.50 = 120,799.50/x
3. Step 3: Cross multiply
   55,969.50x = 120,799.50 × 120,799.50
4. Step 4: Simplify right side
   55,969.50x = 14,592,519,200.25
5. Step 5: Solve for x
   x = 14,592,519,200.25/55,969.50
6. Step 6: Final answer
   x = 260,722.70