Finding the Third Proportional to 123,512 and 266,077

Step by Step Solution

1. Step 1: Write the proportion equation
   123,512 : 266,077 = 266,077 : x
2. Step 2: Convert to fraction form
   123,512/266,077 = 266,077/x
3. Step 3: Cross multiply
   123,512x = 266,077 × 266,077
4. Step 4: Simplify right side
   123,512x = 70,796,969,929
5. Step 5: Solve for x
   x = 70,796,969,929/123,512
6. Step 6: Final answer
   x = 573,199.12