Finding the Third Proportional to 378,762 and 828,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,762 : 828,784.50 = 828,784.50 : x
2. Step 2: Convert to fraction form
   378,762/828,784.50 = 828,784.50/x
3. Step 3: Cross multiply
   378,762x = 828,784.50 × 828,784.50
4. Step 4: Simplify right side
   378,762x = 686,883,747,440.25
5. Step 5: Solve for x
   x = 686,883,747,440.25/378,762
6. Step 6: Final answer
   x = 1,813,496.99