Finding the Third Proportional to 123,184 and 265,596

Step by Step Solution

1. Step 1: Write the proportion equation
   123,184 : 265,596 = 265,596 : x
2. Step 2: Convert to fraction form
   123,184/265,596 = 265,596/x
3. Step 3: Cross multiply
   123,184x = 265,596 × 265,596
4. Step 4: Simplify right side
   123,184x = 70,541,235,216
5. Step 5: Solve for x
   x = 70,541,235,216/123,184
6. Step 6: Final answer
   x = 572,649.33