Finding the Third Proportional to 382,288.50 and 831,033

Step by Step Solution

1. Step 1: Write the proportion equation
   382,288.50 : 831,033 = 831,033 : x
2. Step 2: Convert to fraction form
   382,288.50/831,033 = 831,033/x
3. Step 3: Cross multiply
   382,288.50x = 831,033 × 831,033
4. Step 4: Simplify right side
   382,288.50x = 690,615,847,089
5. Step 5: Solve for x
   x = 690,615,847,089/382,288.50
6. Step 6: Final answer
   x = 1,806,530.53