Finding the Third Proportional to 123,613 and 265,855

Step by Step Solution

1. Step 1: Write the proportion equation
   123,613 : 265,855 = 265,855 : x
2. Step 2: Convert to fraction form
   123,613/265,855 = 265,855/x
3. Step 3: Cross multiply
   123,613x = 265,855 × 265,855
4. Step 4: Simplify right side
   123,613x = 70,678,881,025
5. Step 5: Solve for x
   x = 70,678,881,025/123,613
6. Step 6: Final answer
   x = 571,775.47