Finding the Third Proportional to 171,826.50 and 377,526

Step by Step Solution

1. Step 1: Write the proportion equation
   171,826.50 : 377,526 = 377,526 : x
2. Step 2: Convert to fraction form
   171,826.50/377,526 = 377,526/x
3. Step 3: Cross multiply
   171,826.50x = 377,526 × 377,526
4. Step 4: Simplify right side
   171,826.50x = 142,525,880,676
5. Step 5: Solve for x
   x = 142,525,880,676/171,826.50
6. Step 6: Final answer
   x = 829,475.55