Finding the Third Proportional to 382,738.50 and 831,978

Step by Step Solution

1. Step 1: Write the proportion equation
   382,738.50 : 831,978 = 831,978 : x
2. Step 2: Convert to fraction form
   382,738.50/831,978 = 831,978/x
3. Step 3: Cross multiply
   382,738.50x = 831,978 × 831,978
4. Step 4: Simplify right side
   382,738.50x = 692,187,392,484
5. Step 5: Solve for x
   x = 692,187,392,484/382,738.50
6. Step 6: Final answer
   x = 1,808,512.58