Finding the Third Proportional to 123,386 and 265,490

Step by Step Solution

1. Step 1: Write the proportion equation
   123,386 : 265,490 = 265,490 : x
2. Step 2: Convert to fraction form
   123,386/265,490 = 265,490/x
3. Step 3: Cross multiply
   123,386x = 265,490 × 265,490
4. Step 4: Simplify right side
   123,386x = 70,484,940,100
5. Step 5: Solve for x
   x = 70,484,940,100/123,386
6. Step 6: Final answer
   x = 571,255.57