Finding the Third Proportional to 123,347 and 265,405

Step by Step Solution

1. Step 1: Write the proportion equation
   123,347 : 265,405 = 265,405 : x
2. Step 2: Convert to fraction form
   123,347/265,405 = 265,405/x
3. Step 3: Cross multiply
   123,347x = 265,405 × 265,405
4. Step 4: Simplify right side
   123,347x = 70,439,814,025
5. Step 5: Solve for x
   x = 70,439,814,025/123,347
6. Step 6: Final answer
   x = 571,070.35