Finding the Third Proportional to 123,126 and 265,084

Step by Step Solution

1. Step 1: Write the proportion equation
   123,126 : 265,084 = 265,084 : x
2. Step 2: Convert to fraction form
   123,126/265,084 = 265,084/x
3. Step 3: Cross multiply
   123,126x = 265,084 × 265,084
4. Step 4: Simplify right side
   123,126x = 70,269,527,056
5. Step 5: Solve for x
   x = 70,269,527,056/123,126
6. Step 6: Final answer
   x = 570,712.34