Finding the Third Proportional to 375,294 and 765,870

Step by Step Solution

1. Step 1: Write the proportion equation
   375,294 : 765,870 = 765,870 : x
2. Step 2: Convert to fraction form
   375,294/765,870 = 765,870/x
3. Step 3: Cross multiply
   375,294x = 765,870 × 765,870
4. Step 4: Simplify right side
   375,294x = 586,556,856,900
5. Step 5: Solve for x
   x = 586,556,856,900/375,294
6. Step 6: Final answer
   x = 1,562,926.28