Finding the Third Proportional to 171,832.50 and 377,538

Step by Step Solution

1. Step 1: Write the proportion equation
   171,832.50 : 377,538 = 377,538 : x
2. Step 2: Convert to fraction form
   171,832.50/377,538 = 377,538/x
3. Step 3: Cross multiply
   171,832.50x = 377,538 × 377,538
4. Step 4: Simplify right side
   171,832.50x = 142,534,941,444
5. Step 5: Solve for x
   x = 142,534,941,444/171,832.50
6. Step 6: Final answer
   x = 829,499.32