Finding the Third Proportional to 120,656.50 and 158,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,656.50 : 158,664.50 = 158,664.50 : x
2. Step 2: Convert to fraction form
   120,656.50/158,664.50 = 158,664.50/x
3. Step 3: Cross multiply
   120,656.50x = 158,664.50 × 158,664.50
4. Step 4: Simplify right side
   120,656.50x = 25,174,423,560.25
5. Step 5: Solve for x
   x = 25,174,423,560.25/120,656.50
6. Step 6: Final answer
   x = 208,645.40