Finding the Third Proportional to 120,507 and 262,470

Step by Step Solution

1. Step 1: Write the proportion equation
   120,507 : 262,470 = 262,470 : x
2. Step 2: Convert to fraction form
   120,507/262,470 = 262,470/x
3. Step 3: Cross multiply
   120,507x = 262,470 × 262,470
4. Step 4: Simplify right side
   120,507x = 68,890,500,900
5. Step 5: Solve for x
   x = 68,890,500,900/120,507
6. Step 6: Final answer
   x = 571,672.19