Finding the Third Proportional to 123,146 and 265,940

Step by Step Solution

1. Step 1: Write the proportion equation
   123,146 : 265,940 = 265,940 : x
2. Step 2: Convert to fraction form
   123,146/265,940 = 265,940/x
3. Step 3: Cross multiply
   123,146x = 265,940 × 265,940
4. Step 4: Simplify right side
   123,146x = 70,724,083,600
5. Step 5: Solve for x
   x = 70,724,083,600/123,146
6. Step 6: Final answer
   x = 574,310.85