Finding the Third Proportional to 375,934 and 826,640

Step by Step Solution

1. Step 1: Write the proportion equation
   375,934 : 826,640 = 826,640 : x
2. Step 2: Convert to fraction form
   375,934/826,640 = 826,640/x
3. Step 3: Cross multiply
   375,934x = 826,640 × 826,640
4. Step 4: Simplify right side
   375,934x = 683,333,689,600
5. Step 5: Solve for x
   x = 683,333,689,600/375,934
6. Step 6: Final answer
   x = 1,817,695.90