Finding the Third Proportional to 380,986.50 and 814,458

Step by Step Solution

1. Step 1: Write the proportion equation
   380,986.50 : 814,458 = 814,458 : x
2. Step 2: Convert to fraction form
   380,986.50/814,458 = 814,458/x
3. Step 3: Cross multiply
   380,986.50x = 814,458 × 814,458
4. Step 4: Simplify right side
   380,986.50x = 663,341,833,764
5. Step 5: Solve for x
   x = 663,341,833,764/380,986.50
6. Step 6: Final answer
   x = 1,741,116.37