Finding the Third Proportional to 777,834 and 1,688,454

Step by Step Solution

1. Step 1: Write the proportion equation
   777,834 : 1,688,454 = 1,688,454 : x
2. Step 2: Convert to fraction form
   777,834/1,688,454 = 1,688,454/x
3. Step 3: Cross multiply
   777,834x = 1,688,454 × 1,688,454
4. Step 4: Simplify right side
   777,834x = 2,850,876,910,116
5. Step 5: Solve for x
   x = 2,850,876,910,116/777,834
6. Step 6: Final answer
   x = 3,665,148.23