Finding the Third Proportional to 120,537 and 262,095

Step by Step Solution

1. Step 1: Write the proportion equation
   120,537 : 262,095 = 262,095 : x
2. Step 2: Convert to fraction form
   120,537/262,095 = 262,095/x
3. Step 3: Cross multiply
   120,537x = 262,095 × 262,095
4. Step 4: Simplify right side
   120,537x = 68,693,789,025
5. Step 5: Solve for x
   x = 68,693,789,025/120,537
6. Step 6: Final answer
   x = 569,897.95