Finding the Third Proportional to 266,061 and 578,049

Step by Step Solution

1. Step 1: Write the proportion equation
   266,061 : 578,049 = 578,049 : x
2. Step 2: Convert to fraction form
   266,061/578,049 = 578,049/x
3. Step 3: Cross multiply
   266,061x = 578,049 × 578,049
4. Step 4: Simplify right side
   266,061x = 334,140,646,401
5. Step 5: Solve for x
   x = 334,140,646,401/266,061
6. Step 6: Final answer
   x = 1,255,879.84