Finding the Third Proportional to 378,783 and 832,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,783 : 832,288.50 = 832,288.50 : x
2. Step 2: Convert to fraction form
   378,783/832,288.50 = 832,288.50/x
3. Step 3: Cross multiply
   378,783x = 832,288.50 × 832,288.50
4. Step 4: Simplify right side
   378,783x = 692,704,147,232.25
5. Step 5: Solve for x
   x = 692,704,147,232.25/378,783
6. Step 6: Final answer
   x = 1,828,762.50