Finding the Third Proportional to 123,186 and 265,598

Step by Step Solution

1. Step 1: Write the proportion equation
   123,186 : 265,598 = 265,598 : x
2. Step 2: Convert to fraction form
   123,186/265,598 = 265,598/x
3. Step 3: Cross multiply
   123,186x = 265,598 × 265,598
4. Step 4: Simplify right side
   123,186x = 70,542,297,604
5. Step 5: Solve for x
   x = 70,542,297,604/123,186
6. Step 6: Final answer
   x = 572,648.66