Finding the Third Proportional to 123,126 and 265,085

Step by Step Solution

1. Step 1: Write the proportion equation
   123,126 : 265,085 = 265,085 : x
2. Step 2: Convert to fraction form
   123,126/265,085 = 265,085/x
3. Step 3: Cross multiply
   123,126x = 265,085 × 265,085
4. Step 4: Simplify right side
   123,126x = 70,270,057,225
5. Step 5: Solve for x
   x = 70,270,057,225/123,126
6. Step 6: Final answer
   x = 570,716.64