Finding the Third Proportional to 78,549.75 and 111,673.69

Step by Step Solution

1. Step 1: Write the proportion equation
   78,549.75 : 111,673.69 = 111,673.69 : x
2. Step 2: Convert to fraction form
   78,549.75/111,673.69 = 111,673.69/x
3. Step 3: Cross multiply
   78,549.75x = 111,673.69 × 111,673.69
4. Step 4: Simplify right side
   78,549.75x = 12,471,012,479.85
5. Step 5: Solve for x
   x = 12,471,012,479.85/78,549.75
6. Step 6: Final answer
   x = 158,765.78