Finding the Third Proportional to 123,251 and 265,495

Step by Step Solution

1. Step 1: Write the proportion equation
   123,251 : 265,495 = 265,495 : x
2. Step 2: Convert to fraction form
   123,251/265,495 = 265,495/x
3. Step 3: Cross multiply
   123,251x = 265,495 × 265,495
4. Step 4: Simplify right side
   123,251x = 70,487,595,025
5. Step 5: Solve for x
   x = 70,487,595,025/123,251
6. Step 6: Final answer
   x = 571,902.82