Finding the Third Proportional to 378,897.75 and 829,009.69

Step by Step Solution

1. Step 1: Write the proportion equation
   378,897.75 : 829,009.69 = 829,009.69 : x
2. Step 2: Convert to fraction form
   378,897.75/829,009.69 = 829,009.69/x
3. Step 3: Cross multiply
   378,897.75x = 829,009.69 × 829,009.69
4. Step 4: Simplify right side
   378,897.75x = 687,257,061,968.85
5. Step 5: Solve for x
   x = 687,257,061,968.85/378,897.75
6. Step 6: Final answer
   x = 1,813,832.52