Finding the Third Proportional to 378,682.50 and 816,414

Step by Step Solution

1. Step 1: Write the proportion equation
   378,682.50 : 816,414 = 816,414 : x
2. Step 2: Convert to fraction form
   378,682.50/816,414 = 816,414/x
3. Step 3: Cross multiply
   378,682.50x = 816,414 × 816,414
4. Step 4: Simplify right side
   378,682.50x = 666,531,819,396
5. Step 5: Solve for x
   x = 666,531,819,396/378,682.50
6. Step 6: Final answer
   x = 1,760,133.67