Finding the Third Proportional to 172,759.50 and 377,433

Step by Step Solution

1. Step 1: Write the proportion equation
   172,759.50 : 377,433 = 377,433 : x
2. Step 2: Convert to fraction form
   172,759.50/377,433 = 377,433/x
3. Step 3: Cross multiply
   172,759.50x = 377,433 × 377,433
4. Step 4: Simplify right side
   172,759.50x = 142,455,669,489
5. Step 5: Solve for x
   x = 142,455,669,489/172,759.50
6. Step 6: Final answer
   x = 824,589.50