Finding the Third Proportional to 123,066 and 265,842

Step by Step Solution

1. Step 1: Write the proportion equation
   123,066 : 265,842 = 265,842 : x
2. Step 2: Convert to fraction form
   123,066/265,842 = 265,842/x
3. Step 3: Cross multiply
   123,066x = 265,842 × 265,842
4. Step 4: Simplify right side
   123,066x = 70,671,968,964
5. Step 5: Solve for x
   x = 70,671,968,964/123,066
6. Step 6: Final answer
   x = 574,260.71