Finding the Third Proportional to 376,543.50 and 814,269

Step by Step Solution

1. Step 1: Write the proportion equation
   376,543.50 : 814,269 = 814,269 : x
2. Step 2: Convert to fraction form
   376,543.50/814,269 = 814,269/x
3. Step 3: Cross multiply
   376,543.50x = 814,269 × 814,269
4. Step 4: Simplify right side
   376,543.50x = 663,034,004,361
5. Step 5: Solve for x
   x = 663,034,004,361/376,543.50
6. Step 6: Final answer
   x = 1,760,843.05