Finding the Third Proportional to 380,992.50 and 814,473

Step by Step Solution

1. Step 1: Write the proportion equation
   380,992.50 : 814,473 = 814,473 : x
2. Step 2: Convert to fraction form
   380,992.50/814,473 = 814,473/x
3. Step 3: Cross multiply
   380,992.50x = 814,473 × 814,473
4. Step 4: Simplify right side
   380,992.50x = 663,366,267,729
5. Step 5: Solve for x
   x = 663,366,267,729/380,992.50
6. Step 6: Final answer
   x = 1,741,153.09