Finding the Third Proportional to 172,526 and 377,036

Step by Step Solution

1. Step 1: Write the proportion equation
   172,526 : 377,036 = 377,036 : x
2. Step 2: Convert to fraction form
   172,526/377,036 = 377,036/x
3. Step 3: Cross multiply
   172,526x = 377,036 × 377,036
4. Step 4: Simplify right side
   172,526x = 142,156,145,296
5. Step 5: Solve for x
   x = 142,156,145,296/172,526
6. Step 6: Final answer
   x = 823,969.40