Finding the Third Proportional to 266,644 and 375,016

Step by Step Solution

1. Step 1: Write the proportion equation
   266,644 : 375,016 = 375,016 : x
2. Step 2: Convert to fraction form
   266,644/375,016 = 375,016/x
3. Step 3: Cross multiply
   266,644x = 375,016 × 375,016
4. Step 4: Simplify right side
   266,644x = 140,637,000,256
5. Step 5: Solve for x
   x = 140,637,000,256/266,644
6. Step 6: Final answer
   x = 527,433.58