Finding the Third Proportional to 123,384 and 265,486

Step by Step Solution

1. Step 1: Write the proportion equation
   123,384 : 265,486 = 265,486 : x
2. Step 2: Convert to fraction form
   123,384/265,486 = 265,486/x
3. Step 3: Cross multiply
   123,384x = 265,486 × 265,486
4. Step 4: Simplify right side
   123,384x = 70,482,816,196
5. Step 5: Solve for x
   x = 70,482,816,196/123,384
6. Step 6: Final answer
   x = 571,247.62