Finding the Third Proportional to 137,605.50 and 278,907

Step by Step Solution

1. Step 1: Write the proportion equation
   137,605.50 : 278,907 = 278,907 : x
2. Step 2: Convert to fraction form
   137,605.50/278,907 = 278,907/x
3. Step 3: Cross multiply
   137,605.50x = 278,907 × 278,907
4. Step 4: Simplify right side
   137,605.50x = 77,789,114,649
5. Step 5: Solve for x
   x = 77,789,114,649/137,605.50
6. Step 6: Final answer
   x = 565,305.27