Finding the Third Proportional to 377,524.50 and 829,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   377,524.50 : 829,648.50 = 829,648.50 : x
2. Step 2: Convert to fraction form
   377,524.50/829,648.50 = 829,648.50/x
3. Step 3: Cross multiply
   377,524.50x = 829,648.50 × 829,648.50
4. Step 4: Simplify right side
   377,524.50x = 688,316,633,552.25
5. Step 5: Solve for x
   x = 688,316,633,552.25/377,524.50
6. Step 6: Final answer
   x = 1,823,236.99