Finding the Third Proportional to 123,596 and 265,832

Step by Step Solution

1. Step 1: Write the proportion equation
   123,596 : 265,832 = 265,832 : x
2. Step 2: Convert to fraction form
   123,596/265,832 = 265,832/x
3. Step 3: Cross multiply
   123,596x = 265,832 × 265,832
4. Step 4: Simplify right side
   123,596x = 70,666,652,224
5. Step 5: Solve for x
   x = 70,666,652,224/123,596
6. Step 6: Final answer
   x = 571,755.17