Finding the Third Proportional to 123,727.50 and 275,886

Step by Step Solution

1. Step 1: Write the proportion equation
   123,727.50 : 275,886 = 275,886 : x
2. Step 2: Convert to fraction form
   123,727.50/275,886 = 275,886/x
3. Step 3: Cross multiply
   123,727.50x = 275,886 × 275,886
4. Step 4: Simplify right side
   123,727.50x = 76,113,084,996
5. Step 5: Solve for x
   x = 76,113,084,996/123,727.50
6. Step 6: Final answer
   x = 615,167.08