Finding the Third Proportional to 116,782 and 180,617

Step by Step Solution

1. Step 1: Write the proportion equation
   116,782 : 180,617 = 180,617 : x
2. Step 2: Convert to fraction form
   116,782/180,617 = 180,617/x
3. Step 3: Cross multiply
   116,782x = 180,617 × 180,617
4. Step 4: Simplify right side
   116,782x = 32,622,500,689
5. Step 5: Solve for x
   x = 32,622,500,689/116,782
6. Step 6: Final answer
   x = 279,345.28