Finding the Third Proportional to 380,989.50 and 814,464

Step by Step Solution

1. Step 1: Write the proportion equation
   380,989.50 : 814,464 = 814,464 : x
2. Step 2: Convert to fraction form
   380,989.50/814,464 = 814,464/x
3. Step 3: Cross multiply
   380,989.50x = 814,464 × 814,464
4. Step 4: Simplify right side
   380,989.50x = 663,351,607,296
5. Step 5: Solve for x
   x = 663,351,607,296/380,989.50
6. Step 6: Final answer
   x = 1,741,128.32