Finding the Third Proportional to 120,666 and 262,740

Step by Step Solution

1. Step 1: Write the proportion equation
   120,666 : 262,740 = 262,740 : x
2. Step 2: Convert to fraction form
   120,666/262,740 = 262,740/x
3. Step 3: Cross multiply
   120,666x = 262,740 × 262,740
4. Step 4: Simplify right side
   120,666x = 69,032,307,600
5. Step 5: Solve for x
   x = 69,032,307,600/120,666
6. Step 6: Final answer
   x = 572,094.11