Finding the Third Proportional to 1,205,523 and 1,641,684

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205,523 : 1,641,684 = 1,641,684 : x
2. Step 2: Convert to fraction form
   1,205,523/1,641,684 = 1,641,684/x
3. Step 3: Cross multiply
   1,205,523x = 1,641,684 × 1,641,684
4. Step 4: Simplify right side
   1,205,523x = 2,695,126,355,856
5. Step 5: Solve for x
   x = 2,695,126,355,856/1,205,523
6. Step 6: Final answer
   x = 2,235,649.06