Finding the Third Proportional to 138,056.50 and 301,960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,056.50 : 301,960.50 = 301,960.50 : x
2. Step 2: Convert to fraction form
   138,056.50/301,960.50 = 301,960.50/x
3. Step 3: Cross multiply
   138,056.50x = 301,960.50 × 301,960.50
4. Step 4: Simplify right side
   138,056.50x = 91,180,143,560.25
5. Step 5: Solve for x
   x = 91,180,143,560.25/138,056.50
6. Step 6: Final answer
   x = 660,455.27