Finding the Third Proportional to 378,475.50 and 826,611

Step by Step Solution

1. Step 1: Write the proportion equation
   378,475.50 : 826,611 = 826,611 : x
2. Step 2: Convert to fraction form
   378,475.50/826,611 = 826,611/x
3. Step 3: Cross multiply
   378,475.50x = 826,611 × 826,611
4. Step 4: Simplify right side
   378,475.50x = 683,285,745,321
5. Step 5: Solve for x
   x = 683,285,745,321/378,475.50
6. Step 6: Final answer
   x = 1,805,363.21