Finding the Third Proportional to 120,538 and 262,507

Step by Step Solution

1. Step 1: Write the proportion equation
   120,538 : 262,507 = 262,507 : x
2. Step 2: Convert to fraction form
   120,538/262,507 = 262,507/x
3. Step 3: Cross multiply
   120,538x = 262,507 × 262,507
4. Step 4: Simplify right side
   120,538x = 68,909,925,049
5. Step 5: Solve for x
   x = 68,909,925,049/120,538
6. Step 6: Final answer
   x = 571,686.32