Finding the Third Proportional to 123,126 and 263,748

Step by Step Solution

1. Step 1: Write the proportion equation
   123,126 : 263,748 = 263,748 : x
2. Step 2: Convert to fraction form
   123,126/263,748 = 263,748/x
3. Step 3: Cross multiply
   123,126x = 263,748 × 263,748
4. Step 4: Simplify right side
   123,126x = 69,563,007,504
5. Step 5: Solve for x
   x = 69,563,007,504/123,126
6. Step 6: Final answer
   x = 564,974.15