Finding the Third Proportional to 120,123,666 and 262,266,042

Step by Step Solution

1. Step 1: Write the proportion equation
   120,123,666 : 262,266,042 = 262,266,042 : x
2. Step 2: Convert to fraction form
   120,123,666/262,266,042 = 262,266,042/x
3. Step 3: Cross multiply
   120,123,666x = 262,266,042 × 262,266,042
4. Step 4: Simplify right side
   120,123,666x = 68,783,476,786,345,760
5. Step 5: Solve for x
   x = 68,783,476,786,345,760/120,123,666
6. Step 6: Final answer
   x = 572,605,541.25