Finding the Third Proportional to 260,334 and 541,404

Step by Step Solution

1. Step 1: Write the proportion equation
   260,334 : 541,404 = 541,404 : x
2. Step 2: Convert to fraction form
   260,334/541,404 = 541,404/x
3. Step 3: Cross multiply
   260,334x = 541,404 × 541,404
4. Step 4: Simplify right side
   260,334x = 293,118,291,216
5. Step 5: Solve for x
   x = 293,118,291,216/260,334
6. Step 6: Final answer
   x = 1,125,931.65