Finding the Third Proportional to 172,528 and 377,132

Step by Step Solution

1. Step 1: Write the proportion equation
   172,528 : 377,132 = 377,132 : x
2. Step 2: Convert to fraction form
   172,528/377,132 = 377,132/x
3. Step 3: Cross multiply
   172,528x = 377,132 × 377,132
4. Step 4: Simplify right side
   172,528x = 142,228,545,424
5. Step 5: Solve for x
   x = 142,228,545,424/172,528
6. Step 6: Final answer
   x = 824,379.49