Finding the Third Proportional to 120,667.50 and 158,678.25

Step by Step Solution

1. Step 1: Write the proportion equation
   120,667.50 : 158,678.25 = 158,678.25 : x
2. Step 2: Convert to fraction form
   120,667.50/158,678.25 = 158,678.25/x
3. Step 3: Cross multiply
   120,667.50x = 158,678.25 × 158,678.25
4. Step 4: Simplify right side
   120,667.50x = 25,178,787,023.06
5. Step 5: Solve for x
   x = 25,178,787,023.06/120,667.50
6. Step 6: Final answer
   x = 208,662.54