Finding the Third Proportional to 123,126 and 265,692

Step by Step Solution

1. Step 1: Write the proportion equation
   123,126 : 265,692 = 265,692 : x
2. Step 2: Convert to fraction form
   123,126/265,692 = 265,692/x
3. Step 3: Cross multiply
   123,126x = 265,692 × 265,692
4. Step 4: Simplify right side
   123,126x = 70,592,238,864
5. Step 5: Solve for x
   x = 70,592,238,864/123,126
6. Step 6: Final answer
   x = 573,333.32