Finding the Third Proportional to 138,010.50 and 295,695

Step by Step Solution

1. Step 1: Write the proportion equation
   138,010.50 : 295,695 = 295,695 : x
2. Step 2: Convert to fraction form
   138,010.50/295,695 = 295,695/x
3. Step 3: Cross multiply
   138,010.50x = 295,695 × 295,695
4. Step 4: Simplify right side
   138,010.50x = 87,435,533,025
5. Step 5: Solve for x
   x = 87,435,533,025/138,010.50
6. Step 6: Final answer
   x = 633,542.61