Finding the Third Proportional to 123,358 and 265,424

Step by Step Solution

1. Step 1: Write the proportion equation
   123,358 : 265,424 = 265,424 : x
2. Step 2: Convert to fraction form
   123,358/265,424 = 265,424/x
3. Step 3: Cross multiply
   123,358x = 265,424 × 265,424
4. Step 4: Simplify right side
   123,358x = 70,449,899,776
5. Step 5: Solve for x
   x = 70,449,899,776/123,358
6. Step 6: Final answer
   x = 571,101.18