Finding the Third Proportional to 138,096 and 302,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,096 : 302,540.50 = 302,540.50 : x
2. Step 2: Convert to fraction form
   138,096/302,540.50 = 302,540.50/x
3. Step 3: Cross multiply
   138,096x = 302,540.50 × 302,540.50
4. Step 4: Simplify right side
   138,096x = 91,530,754,140.25
5. Step 5: Solve for x
   x = 91,530,754,140.25/138,096
6. Step 6: Final answer
   x = 662,805.25