Finding the Third Proportional to 506,406 and 783,870

Step by Step Solution

1. Step 1: Write the proportion equation
   506,406 : 783,870 = 783,870 : x
2. Step 2: Convert to fraction form
   506,406/783,870 = 783,870/x
3. Step 3: Cross multiply
   506,406x = 783,870 × 783,870
4. Step 4: Simplify right side
   506,406x = 614,452,176,900
5. Step 5: Solve for x
   x = 614,452,176,900/506,406
6. Step 6: Final answer
   x = 1,213,358.80