Finding the Third Proportional to 379,017.50 and 829,250

Step by Step Solution

1. Step 1: Write the proportion equation
   379,017.50 : 829,250 = 829,250 : x
2. Step 2: Convert to fraction form
   379,017.50/829,250 = 829,250/x
3. Step 3: Cross multiply
   379,017.50x = 829,250 × 829,250
4. Step 4: Simplify right side
   379,017.50x = 687,655,562,500
5. Step 5: Solve for x
   x = 687,655,562,500/379,017.50
6. Step 6: Final answer
   x = 1,814,310.85