Finding the Third Proportional to 377,905.50 and 829,530

Step by Step Solution

1. Step 1: Write the proportion equation
   377,905.50 : 829,530 = 829,530 : x
2. Step 2: Convert to fraction form
   377,905.50/829,530 = 829,530/x
3. Step 3: Cross multiply
   377,905.50x = 829,530 × 829,530
4. Step 4: Simplify right side
   377,905.50x = 688,120,020,900
5. Step 5: Solve for x
   x = 688,120,020,900/377,905.50
6. Step 6: Final answer
   x = 1,820,878.56