Finding the Third Proportional to 123,184 and 265,595

Step by Step Solution

1. Step 1: Write the proportion equation
   123,184 : 265,595 = 265,595 : x
2. Step 2: Convert to fraction form
   123,184/265,595 = 265,595/x
3. Step 3: Cross multiply
   123,184x = 265,595 × 265,595
4. Step 4: Simplify right side
   123,184x = 70,540,704,025
5. Step 5: Solve for x
   x = 70,540,704,025/123,184
6. Step 6: Final answer
   x = 572,645.02