Finding the Third Proportional to 379,233 and 819,200.25

Step by Step Solution

1. Step 1: Write the proportion equation
   379,233 : 819,200.25 = 819,200.25 : x
2. Step 2: Convert to fraction form
   379,233/819,200.25 = 819,200.25/x
3. Step 3: Cross multiply
   379,233x = 819,200.25 × 819,200.25
4. Step 4: Simplify right side
   379,233x = 671,089,049,600.06
5. Step 5: Solve for x
   x = 671,089,049,600.06/379,233
6. Step 6: Final answer
   x = 1,769,595.60