Finding the Third Proportional to 123,146 and 265,510

Step by Step Solution

1. Step 1: Write the proportion equation
   123,146 : 265,510 = 265,510 : x
2. Step 2: Convert to fraction form
   123,146/265,510 = 265,510/x
3. Step 3: Cross multiply
   123,146x = 265,510 × 265,510
4. Step 4: Simplify right side
   123,146x = 70,495,560,100
5. Step 5: Solve for x
   x = 70,495,560,100/123,146
6. Step 6: Final answer
   x = 572,455.14