Finding the Third Proportional to 172,510 and 365,526

Step by Step Solution

1. Step 1: Write the proportion equation
   172,510 : 365,526 = 365,526 : x
2. Step 2: Convert to fraction form
   172,510/365,526 = 365,526/x
3. Step 3: Cross multiply
   172,510x = 365,526 × 365,526
4. Step 4: Simplify right side
   172,510x = 133,609,256,676
5. Step 5: Solve for x
   x = 133,609,256,676/172,510
6. Step 6: Final answer
   x = 774,501.52