Finding the Third Proportional to 1,076,829 and 1,689,465

Step by Step Solution

1. Step 1: Write the proportion equation
   1,076,829 : 1,689,465 = 1,689,465 : x
2. Step 2: Convert to fraction form
   1,076,829/1,689,465 = 1,689,465/x
3. Step 3: Cross multiply
   1,076,829x = 1,689,465 × 1,689,465
4. Step 4: Simplify right side
   1,076,829x = 2,854,291,986,225
5. Step 5: Solve for x
   x = 2,854,291,986,225/1,076,829
6. Step 6: Final answer
   x = 2,650,645.54