Finding the Third Proportional to 377,522 and 829,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   377,522 : 829,644.50 = 829,644.50 : x
2. Step 2: Convert to fraction form
   377,522/829,644.50 = 829,644.50/x
3. Step 3: Cross multiply
   377,522x = 829,644.50 × 829,644.50
4. Step 4: Simplify right side
   377,522x = 688,309,996,380.25
5. Step 5: Solve for x
   x = 688,309,996,380.25/377,522
6. Step 6: Final answer
   x = 1,823,231.48