Finding the Third Proportional to 55,869 and 79,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,869 : 79,809.50 = 79,809.50 : x
2. Step 2: Convert to fraction form
   55,869/79,809.50 = 79,809.50/x
3. Step 3: Cross multiply
   55,869x = 79,809.50 × 79,809.50
4. Step 4: Simplify right side
   55,869x = 6,369,556,290.25
5. Step 5: Solve for x
   x = 6,369,556,290.25/55,869
6. Step 6: Final answer
   x = 114,008.78